Complex division, real part

Time bar (total: 10.5s)

analyze24.0ms (0.2%)

Memory
26.6MiB live, 26.6MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
0%0%99.8%0.2%0%0%0%1
0%0%99.8%0.2%0%0%0%2
0%0%99.8%0.2%0%0%0%3
0%0%99.8%0.2%0%0%0%4
75%74.9%25%0.2%0%0%0%5
75%74.9%25%0.2%0%0%0%6
75%74.9%25%0.2%0%0%0%7
87.5%87.3%12.5%0.2%0%0%0%8
93.8%93.6%6.2%0.2%0%0%0%9
93.8%93.6%6.2%0.2%0%0%0%10
93.8%93.6%6.2%0.2%0%0%0%11
96.9%96.7%3.1%0.2%0%0%0%12
Compiler

Compiled 17 to 13 computations (23.5% saved)

sample1.9s (18.1%)

Memory
4.7MiB live, 1 183.9MiB allocated
Samples
1.5s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 911.0ms
ival-mult: 761.0ms (83.5% of total)
ival-add: 73.0ms (8% of total)
ival-div: 68.0ms (7.5% of total)
ival-true: 6.0ms (0.7% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

preprocess323.0ms (3.1%)

Memory
1.4MiB live, 39.9MiB allocated
Algorithm
egg-herbie
Rules
2 210×times-frac
1 210×div-sub
1 068×distribute-rgt-in
1 028×distribute-lft-in
988×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060218
1132210
2209210
3377210
4914210
52299210
63076210
73886210
84759210
95156210
105284210
115444210
125444210
135480210
145496210
155496210
165856210
176830210
186982210
196994210
206998210
217006210
227014210
237014210
247122210
257170210
267170210
01115
11515
01513
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))
Outputs
(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))
(/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c c (*.f64 d d)))

explain130.0ms (1.2%)

Memory
18.8MiB live, 222.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1011(1.3007655672376019e+48 1.5442450642347686e-52 2.275391724627925e-93 3.869048348382242e+270)1(9.74938849022057e-139 1.1287955081125284e-194 -9.90592860777166e-160 -1.4396809408440755e-213)(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
10-0-(+.f64 (*.f64 a c) (*.f64 b d))
00-0-(+.f64 (*.f64 c c) (*.f64 d d))
00-0-a
00-0-d
00-0-(*.f64 d d)
00-0-(*.f64 c c)
00-0-(*.f64 a c)
00-0-c
00-0-b
00-0-(*.f64 b d)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))o/o450
(+.f64 (*.f64 a c) (*.f64 b d))overflow55
(*.f64 a c)overflow35
(*.f64 b d)overflow22
(+.f64 (*.f64 c c) (*.f64 d d))overflow114
(*.f64 c c)overflow73
(*.f64 d d)overflow59
/.f64(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))n/o360
(+.f64 (*.f64 c c) (*.f64 d d))overflow114
(*.f64 c c)overflow73
(*.f64 d d)overflow59
/.f64(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))o/n100
(+.f64 (*.f64 a c) (*.f64 b d))overflow55
(*.f64 a c)overflow35
(*.f64 b d)overflow22
/.f64(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))n/u60
(+.f64 (*.f64 c c) (*.f64 d d))underflow12
(*.f64 c c)underflow59
(*.f64 d d)underflow70
/.f64(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))u/u40
(+.f64 (*.f64 a c) (*.f64 b d))underflow4
(*.f64 a c)underflow27
(*.f64 b d)underflow26
(+.f64 (*.f64 c c) (*.f64 d d))underflow12
(*.f64 c c)underflow59
(*.f64 d d)underflow70
+.f64(+.f64 (*.f64 a c) (*.f64 b d))nan-rescue10
(*.f64 a c)overflow35
(*.f64 b d)overflow22
Confusion
Predicted +Predicted -
+1001
-1154
Precision
0.9900990099009901
Recall
0.9900990099009901
Confusion?
Predicted +Predicted MaybePredicted -
+10001
-10154
Precision?
0.9900990099009901
Recall?
0.9900990099009901
Freqs
test
numberfreq
0155
1100
21
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
51.0ms512×0valid
Compiler

Compiled 132 to 48 computations (63.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-mult: 15.0ms (60.2% of total)
ival-add: 6.0ms (24.1% of total)
ival-div: 3.0ms (12% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.1%
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Compiler

Compiled 19 to 11 computations (42.1% saved)

simplify79.0ms (0.8%)

Memory
-33.5MiB live, 5.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 a c)
cost-diff0
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
cost-diff128
(+.f64 (*.f64 c c) (*.f64 d d))
cost-diff128
(+.f64 (*.f64 a c) (*.f64 b d))
Rules
12×*-lowering-*.f32
12×*-lowering-*.f64
12×accelerator-lowering-fma.f32
12×accelerator-lowering-fma.f64
+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01145
11545
01541
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))
(+ (* a c) (* b d))
(* a c)
a
c
(* b d)
b
d
(+ (* c c) (* d d))
(* c c)
(* d d)
Outputs
(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))
(/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c c (*.f64 d d)))
(+ (* a c) (* b d))
(fma.f64 a c (*.f64 b d))
(* a c)
(*.f64 a c)
a
c
(* b d)
(*.f64 b d)
b
d
(+ (* c c) (* d d))
(fma.f64 c c (*.f64 d d))
(* c c)
(*.f64 c c)
(* d d)
(*.f64 d d)

localize30.0ms (0.3%)

Memory
13.1MiB live, 51.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 a c)
accuracy100.0%
(+.f64 (*.f64 c c) (*.f64 d d))
accuracy99.7%
(+.f64 (*.f64 a c) (*.f64 b d))
accuracy62.4%
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Samples
20.0ms256×0valid
Compiler

Compiled 47 to 13 computations (72.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 6.0ms (53.5% of total)
ival-add: 3.0ms (26.7% of total)
ival-div: 2.0ms (17.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series14.0ms (0.1%)

Memory
-10.4MiB live, 27.9MiB allocated
Counts
4 → 144
Calls
Call 1
Inputs
#<alt (+ (* a c) (* b d))>
#<alt (+ (* c c) (* d d))>
#<alt (/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))>
#<alt (* a c)>
Outputs
#<alt (* b d)>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (* a c)>
#<alt (* a (+ c (/ (* b d) a)))>
#<alt (* a (+ c (/ (* b d) a)))>
#<alt (* a (+ c (/ (* b d) a)))>
#<alt (* a c)>
#<alt (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))>
#<alt (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))>
#<alt (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))>
#<alt (* b d)>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (* a c)>
#<alt (* c (+ a (/ (* b d) c)))>
#<alt (* c (+ a (/ (* b d) c)))>
#<alt (* c (+ a (/ (* b d) c)))>
#<alt (* a c)>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))>
#<alt (* a c)>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (* b d)>
#<alt (* b (+ d (/ (* a c) b)))>
#<alt (* b (+ d (/ (* a c) b)))>
#<alt (* b (+ d (/ (* a c) b)))>
#<alt (* b d)>
#<alt (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))>
#<alt (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))>
#<alt (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))>
#<alt (* a c)>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (* b d)>
#<alt (* d (+ b (/ (* a c) d)))>
#<alt (* d (+ b (/ (* a c) d)))>
#<alt (* d (+ b (/ (* a c) d)))>
#<alt (* b d)>
#<alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))>
#<alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))>
#<alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))>
#<alt (pow d 2)>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (pow c 2)>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (pow c 2)>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (pow c 2)>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (pow d 2)>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (pow d 2)>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))>
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))>
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))>
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))>
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))>
#<alt (/ b d)>
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))>
#<alt (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))>
#<alt (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))>
#<alt (/ a c)>
#<alt (/ (+ a (/ (* b d) c)) c)>
#<alt (/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)>
#<alt (/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)>
#<alt (/ a c)>
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))>
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))>
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))>
#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))>
#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))>
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))>
#<alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))>
#<alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))>
#<alt (/ a c)>
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))>
#<alt (+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))>
#<alt (+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))>
#<alt (/ b d)>
#<alt (/ (+ b (/ (* a c) d)) d)>
#<alt (/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)>
#<alt (/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)>
#<alt (/ b d)>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
Calls

36 calls:

TimeVariablePointExpression
1.0ms
c
@0
(* a c)
1.0ms
c
@inf
(+ (* c c) (* d d))
1.0ms
a
@0
(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))
1.0ms
b
@0
(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))
0.0ms
b
@0
(+ (* a c) (* b d))

rewrite350.0ms (3.3%)

Memory
24.9MiB live, 597.3MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 970×accelerator-lowering-fma.f32
5 970×accelerator-lowering-fma.f64
5 332×*-lowering-*.f32
5 332×*-lowering-*.f64
2 426×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01132
15132
242832
3506232
0875228
Stop Event
iter limit
node limit
Counts
4 → 339
Calls
Call 1
Inputs
(+ (* a c) (* b d))
(+ (* c c) (* d d))
(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))
(* a c)
Outputs
(+.f64 (*.f64 a c) (*.f64 b d))
(+.f64 (*.f64 b d) (*.f64 a c))
(+.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (-.f64 (*.f64 a c) (*.f64 b d))) (neg.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (-.f64 (*.f64 a c) (*.f64 b d)))))
(+.f64 (neg.f64 (*.f64 b (neg.f64 d))) (neg.f64 (neg.f64 (*.f64 a c))))
(+.f64 (neg.f64 (neg.f64 (*.f64 a c))) (neg.f64 (*.f64 b (neg.f64 d))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a c (*.f64 b d)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 a c (*.f64 b d))))
(-.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (-.f64 (*.f64 a c) (*.f64 b d))) (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (-.f64 (*.f64 a c) (*.f64 b d))))
(-.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (-.f64 (*.f64 b d) (*.f64 a c))) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (-.f64 (*.f64 b d) (*.f64 a c))))
(fma.f64 a c (*.f64 b d))
(fma.f64 a (/.f64 (*.f64 a (*.f64 c c)) (-.f64 (*.f64 a c) (*.f64 b d))) (neg.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (-.f64 (*.f64 a c) (*.f64 b d)))))
(fma.f64 c a (*.f64 b d))
(fma.f64 c (/.f64 (*.f64 a (*.f64 a c)) (-.f64 (*.f64 a c) (*.f64 b d))) (neg.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (-.f64 (*.f64 a c) (*.f64 b d)))))
(fma.f64 c (exp.f64 (log.f64 a)) (*.f64 b d))
(fma.f64 (*.f64 a c) (/.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 b d))) (neg.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (-.f64 (*.f64 a c) (*.f64 b d)))))
(fma.f64 b d (*.f64 a c))
(fma.f64 d b (*.f64 a c))
(fma.f64 d (exp.f64 (log.f64 b)) (*.f64 a c))
(fma.f64 (*.f64 c c) (/.f64 (*.f64 a a) (-.f64 (*.f64 a c) (*.f64 b d))) (neg.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (-.f64 (*.f64 a c) (*.f64 b d)))))
(fma.f64 (*.f64 a (*.f64 a (*.f64 c c))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a c) (*.f64 b d))) (neg.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (-.f64 (*.f64 a c) (*.f64 b d)))))
(fma.f64 (*.f64 a a) (/.f64 (*.f64 c c) (-.f64 (*.f64 a c) (*.f64 b d))) (neg.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (-.f64 (*.f64 a c) (*.f64 b d)))))
(fma.f64 (*.f64 a (*.f64 c c)) (/.f64 a (-.f64 (*.f64 a c) (*.f64 b d))) (neg.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (-.f64 (*.f64 a c) (*.f64 b d)))))
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(/.f64 (*.f64 (neg.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d)))) (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d)))) (neg.f64 (-.f64 (*.f64 a c) (*.f64 b d))))
(/.f64 (*.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 b d) (*.f64 a c))) (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d)))) (-.f64 (*.f64 b d) (*.f64 a c)))
(/.f64 (*.f64 (fma.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 d (*.f64 d d)))) (/.f64 #s(literal -1 binary64) (fma.f64 c c (*.f64 d d)))) (neg.f64 (fma.f64 a (*.f64 a (*.f64 c c)) (*.f64 (*.f64 b d) (-.f64 (*.f64 b d) (*.f64 a c))))))
(/.f64 (*.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d))) (/.f64 #s(literal -1 binary64) (fma.f64 c c (*.f64 d d)))) (neg.f64 (-.f64 (*.f64 a c) (*.f64 b d))))
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(/.f64 (/.f64 (neg.f64 (fma.f64 a c (*.f64 b d))) #s(literal -1 binary64)) (fma.f64 c c (*.f64 d d)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 d (*.f64 d d)))))) (fma.f64 a (*.f64 a (*.f64 c c)) (*.f64 (*.f64 b d) (-.f64 (*.f64 b d) (*.f64 a c)))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d))))) (-.f64 (*.f64 a c) (*.f64 b d)))
(pow.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c c (*.f64 d d))) #s(literal 1 binary64))
(pow.f64 (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 a (*.f64 a (*.f64 c c)) (*.f64 (*.f64 b d) (-.f64 (*.f64 b d) (*.f64 a c)))) (/.f64 (fma.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 d (*.f64 d d)))) (fma.f64 c c (*.f64 d d)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (*.f64 a c) (*.f64 b d)) (/.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d))) (fma.f64 c c (*.f64 d d)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c c (*.f64 d d))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d))) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d)))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d))))) #s(literal -1 binary64))
(*.f64 (fma.f64 a c (*.f64 b d)) (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))))
(*.f64 (fma.f64 a c (*.f64 b d)) (/.f64 (-.f64 (*.f64 a c) (*.f64 b d)) (*.f64 (fma.f64 c c (*.f64 d d)) (-.f64 (*.f64 a c) (*.f64 b d)))))
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(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 c c (*.f64 d d))) (neg.f64 (fma.f64 a c (*.f64 b d))))
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(*.f64 (/.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d))) (fma.f64 c c (*.f64 d d))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a c) (*.f64 b d))))
(*.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d)))))) (fma.f64 c (*.f64 c (*.f64 c c)) (*.f64 (*.f64 d d) (*.f64 (+.f64 c d) (-.f64 d c)))))
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(*.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d)))) (*.f64 (+.f64 c d) (-.f64 c d)))
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(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d)))))) (*.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c (*.f64 c (*.f64 c c)) (*.f64 (*.f64 d d) (*.f64 (+.f64 c d) (-.f64 d c))))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d)))) (*.f64 (fma.f64 a c (*.f64 b d)) (*.f64 (+.f64 c d) (-.f64 c d))))
(*.f64 (/.f64 (fma.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 d (*.f64 d d)))) (fma.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d)))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a (*.f64 c c)) (*.f64 (*.f64 b d) (-.f64 (*.f64 b d) (*.f64 a c))))) (/.f64 #s(literal 1 binary64) (fma.f64 c (*.f64 c (*.f64 c c)) (*.f64 (*.f64 d d) (*.f64 (+.f64 c d) (-.f64 d c)))))))
(*.f64 (/.f64 (fma.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 d (*.f64 d d)))) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a (*.f64 c c)) (*.f64 (*.f64 b d) (-.f64 (*.f64 b d) (*.f64 a c))))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 c d) (-.f64 c d)))))
(*.f64 (/.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d))) (fma.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d)))))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a c) (*.f64 b d))) (/.f64 #s(literal 1 binary64) (fma.f64 c (*.f64 c (*.f64 c c)) (*.f64 (*.f64 d d) (*.f64 (+.f64 c d) (-.f64 d c)))))))
(*.f64 (/.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d))) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a c) (*.f64 b d))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 c d) (-.f64 c d)))))
(*.f64 (/.f64 (fma.f64 a (*.f64 a (*.f64 c c)) (*.f64 (*.f64 b d) (-.f64 (*.f64 b d) (*.f64 a c)))) (fma.f64 c c (*.f64 d d))) (/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 a (*.f64 a (*.f64 c c)) (*.f64 (*.f64 b d) (-.f64 (*.f64 b d) (*.f64 a c))))))
(*.f64 (/.f64 (fma.f64 a c (*.f64 b d)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))))
(*.f64 (pow.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c c (*.f64 d d))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c c (*.f64 d d))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 a c (*.f64 b d)))) (/.f64 #s(literal -1 binary64) (fma.f64 c c (*.f64 d d))))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d))))))) (fma.f64 c (*.f64 c (*.f64 c c)) (*.f64 (*.f64 d d) (*.f64 (+.f64 c d) (-.f64 d c)))))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a c (*.f64 b d)) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d))))) (*.f64 (+.f64 c d) (-.f64 c d)))
(*.f64 (*.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d)))) (+.f64 c d)) (-.f64 c d))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 d (*.f64 d d)))))) (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a (*.f64 c c)) (*.f64 (*.f64 b d) (-.f64 (*.f64 b d) (*.f64 a c))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a c) (*.f64 b d))))
(*.f64 (/.f64 (neg.f64 (fma.f64 a c (*.f64 b d))) (fma.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d)))))) (neg.f64 (fma.f64 c (*.f64 c (*.f64 c c)) (*.f64 (*.f64 d d) (*.f64 (+.f64 c d) (-.f64 d c))))))
(*.f64 (/.f64 (neg.f64 (fma.f64 a c (*.f64 b d))) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d)))) (neg.f64 (*.f64 (+.f64 c d) (-.f64 c d))))
(*.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (neg.f64 (fma.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d))))))) (neg.f64 (fma.f64 c (*.f64 c (*.f64 c c)) (*.f64 (*.f64 d d) (*.f64 (+.f64 c d) (-.f64 d c))))))
(*.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (neg.f64 (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d))))) (neg.f64 (*.f64 (+.f64 c d) (-.f64 c d))))
(*.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 d c)))) (*.f64 (+.f64 c d) (-.f64 d c)))
(*.f64 (/.f64 (/.f64 (fma.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 d (*.f64 d d)))) (fma.f64 c c (*.f64 d d))) (fma.f64 (*.f64 a c) (*.f64 (*.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c))))) (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 (*.f64 b d) (-.f64 (*.f64 b d) (*.f64 a c))) (*.f64 (*.f64 (*.f64 b d) (-.f64 (*.f64 b d) (*.f64 a c))) (*.f64 (*.f64 b d) (-.f64 (*.f64 b d) (*.f64 a c))))))) (fma.f64 (*.f64 (*.f64 b d) (-.f64 (*.f64 b d) (*.f64 a c))) (-.f64 (*.f64 (*.f64 b d) (-.f64 (*.f64 b d) (*.f64 a c))) (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 a (*.f64 a (*.f64 c c))))))
(*.f64 (/.f64 (/.f64 (fma.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 d (*.f64 d d)))) (fma.f64 c c (*.f64 d d))) (*.f64 (fma.f64 a (*.f64 a (*.f64 c c)) (*.f64 (*.f64 b d) (-.f64 (*.f64 b d) (*.f64 a c)))) (-.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 (*.f64 b d) (-.f64 (*.f64 b d) (*.f64 a c)))))) (-.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 (*.f64 b d) (-.f64 (*.f64 b d) (*.f64 a c)))))
(*.f64 (/.f64 (/.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d))) (fma.f64 c c (*.f64 d d))) (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d)))) (fma.f64 a c (*.f64 b d)))
(*.f64 (/.f64 (/.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d))) (fma.f64 c c (*.f64 d d))) (-.f64 (*.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c))))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 d (*.f64 d d))))) (fma.f64 (*.f64 b d) (fma.f64 a c (*.f64 b d)) (*.f64 a (*.f64 a (*.f64 c c)))))
(exp.f64 (log.f64 (*.f64 a c)))
(exp.f64 (*.f64 (log.f64 (*.f64 a c)) #s(literal 1 binary64)))
(pow.f64 (*.f64 a c) #s(literal 1 binary64))
(*.f64 a c)
(*.f64 c a)
(*.f64 c (exp.f64 (log.f64 a)))
(*.f64 (exp.f64 (log.f64 a)) c)

simplify305.0ms (2.9%)

Memory
-18.8MiB live, 532.5MiB allocated
Algorithm
egg-herbie
Rules
7 676×accelerator-lowering-fma.f32
7 676×accelerator-lowering-fma.f64
4 326×*-lowering-*.f32
4 326×*-lowering-*.f64
1 822×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01861356
16181346
218921322
357631320
081851190
Stop Event
iter limit
node limit
Counts
144 → 144
Calls
Call 1
Inputs
(* b d)
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(* a c)
(* a (+ c (/ (* b d) a)))
(* a (+ c (/ (* b d) a)))
(* a (+ c (/ (* b d) a)))
(* a c)
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(* b d)
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(* a c)
(* c (+ a (/ (* b d) c)))
(* c (+ a (/ (* b d) c)))
(* c (+ a (/ (* b d) c)))
(* a c)
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(* a c)
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(* b d)
(* b (+ d (/ (* a c) b)))
(* b (+ d (/ (* a c) b)))
(* b (+ d (/ (* a c) b)))
(* b d)
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(* a c)
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(* b d)
(* d (+ b (/ (* a c) d)))
(* d (+ b (/ (* a c) d)))
(* d (+ b (/ (* a c) d)))
(* b d)
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(pow d 2)
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(pow c 2)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(pow c 2)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(pow c 2)
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(pow d 2)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(pow d 2)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(/ b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(/ a c)
(/ (+ a (/ (* b d) c)) c)
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)
(/ a c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(/ a c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))
(/ b d)
(/ (+ b (/ (* a c) d)) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)
(/ b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
Outputs
(* b d)
(*.f64 b d)
(+ (* a c) (* b d))
(fma.f64 b d (*.f64 a c))
(+ (* a c) (* b d))
(fma.f64 b d (*.f64 a c))
(+ (* a c) (* b d))
(fma.f64 b d (*.f64 a c))
(* a c)
(*.f64 a c)
(* a (+ c (/ (* b d) a)))
(fma.f64 b d (*.f64 a c))
(* a (+ c (/ (* b d) a)))
(fma.f64 b d (*.f64 a c))
(* a (+ c (/ (* b d) a)))
(fma.f64 b d (*.f64 a c))
(* a c)
(*.f64 a c)
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(fma.f64 b d (*.f64 a c))
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(fma.f64 b d (*.f64 a c))
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(fma.f64 b d (*.f64 a c))
(* b d)
(*.f64 b d)
(+ (* a c) (* b d))
(fma.f64 b d (*.f64 a c))
(+ (* a c) (* b d))
(fma.f64 b d (*.f64 a c))
(+ (* a c) (* b d))
(fma.f64 b d (*.f64 a c))
(* a c)
(*.f64 a c)
(* c (+ a (/ (* b d) c)))
(fma.f64 b d (*.f64 a c))
(* c (+ a (/ (* b d) c)))
(fma.f64 b d (*.f64 a c))
(* c (+ a (/ (* b d) c)))
(fma.f64 b d (*.f64 a c))
(* a c)
(*.f64 a c)
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(fma.f64 b d (*.f64 a c))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(fma.f64 b d (*.f64 a c))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(fma.f64 b d (*.f64 a c))
(* a c)
(*.f64 a c)
(+ (* a c) (* b d))
(fma.f64 b d (*.f64 a c))
(+ (* a c) (* b d))
(fma.f64 b d (*.f64 a c))
(+ (* a c) (* b d))
(fma.f64 b d (*.f64 a c))
(* b d)
(*.f64 b d)
(* b (+ d (/ (* a c) b)))
(fma.f64 b d (*.f64 a c))
(* b (+ d (/ (* a c) b)))
(fma.f64 b d (*.f64 a c))
(* b (+ d (/ (* a c) b)))
(fma.f64 b d (*.f64 a c))
(* b d)
(*.f64 b d)
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(fma.f64 b d (*.f64 a c))
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(fma.f64 b d (*.f64 a c))
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(fma.f64 b d (*.f64 a c))
(* a c)
(*.f64 a c)
(+ (* a c) (* b d))
(fma.f64 b d (*.f64 a c))
(+ (* a c) (* b d))
(fma.f64 b d (*.f64 a c))
(+ (* a c) (* b d))
(fma.f64 b d (*.f64 a c))
(* b d)
(*.f64 b d)
(* d (+ b (/ (* a c) d)))
(fma.f64 b d (*.f64 a c))
(* d (+ b (/ (* a c) d)))
(fma.f64 b d (*.f64 a c))
(* d (+ b (/ (* a c) d)))
(fma.f64 b d (*.f64 a c))
(* b d)
(*.f64 b d)
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(fma.f64 b d (*.f64 a c))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(fma.f64 b d (*.f64 a c))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(fma.f64 b d (*.f64 a c))
(pow d 2)
(*.f64 d d)
(+ (pow c 2) (pow d 2))
(fma.f64 d d (*.f64 c c))
(+ (pow c 2) (pow d 2))
(fma.f64 d d (*.f64 c c))
(+ (pow c 2) (pow d 2))
(fma.f64 d d (*.f64 c c))
(pow c 2)
(*.f64 c c)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(fma.f64 d d (*.f64 c c))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(fma.f64 d d (*.f64 c c))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(fma.f64 d d (*.f64 c c))
(pow c 2)
(*.f64 c c)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(fma.f64 d d (*.f64 c c))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(fma.f64 d d (*.f64 c c))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(fma.f64 d d (*.f64 c c))
(pow c 2)
(*.f64 c c)
(+ (pow c 2) (pow d 2))
(fma.f64 d d (*.f64 c c))
(+ (pow c 2) (pow d 2))
(fma.f64 d d (*.f64 c c))
(+ (pow c 2) (pow d 2))
(fma.f64 d d (*.f64 c c))
(pow d 2)
(*.f64 d d)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(fma.f64 d d (*.f64 c c))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(fma.f64 d d (*.f64 c c))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(fma.f64 d d (*.f64 c c))
(pow d 2)
(*.f64 d d)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(fma.f64 d d (*.f64 c c))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(fma.f64 d d (*.f64 c c))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(fma.f64 d d (*.f64 c c))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))
(/ b d)
(/.f64 b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(fma.f64 c (fma.f64 (neg.f64 c) (/.f64 b (*.f64 d (*.f64 d d))) (/.f64 a (*.f64 d d))) (/.f64 b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(fma.f64 c (-.f64 (/.f64 a (*.f64 d d)) (*.f64 (fma.f64 a (/.f64 c (pow.f64 d #s(literal 4 binary64))) (/.f64 b (*.f64 d (*.f64 d d)))) c)) (/.f64 b d))
(/ a c)
(/.f64 a c)
(/ (+ a (/ (* b d) c)) c)
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)
(/.f64 (+.f64 a (/.f64 (fma.f64 d (/.f64 (*.f64 d (neg.f64 a)) c) (*.f64 b d)) c)) c)
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)
(/.f64 (+.f64 a (/.f64 (-.f64 (*.f64 b d) (/.f64 (fma.f64 b (/.f64 (*.f64 d (*.f64 d d)) c) (*.f64 a (*.f64 d d))) c)) c)) c)
(/ a c)
(/.f64 a c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))
(/.f64 (+.f64 a (/.f64 (fma.f64 d (/.f64 (*.f64 d (neg.f64 a)) c) (*.f64 b d)) c)) c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))
(/.f64 (+.f64 a (/.f64 (-.f64 (*.f64 b d) (/.f64 (fma.f64 b (/.f64 (*.f64 d (*.f64 d d)) c) (*.f64 a (*.f64 d d))) c)) c)) c)
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c)))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c)))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))
(/ a c)
(/.f64 a c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))
(fma.f64 d (-.f64 (/.f64 b (*.f64 c c)) (*.f64 a (/.f64 d (*.f64 c (*.f64 c c))))) (/.f64 a c))
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))
(fma.f64 d (-.f64 (/.f64 b (*.f64 c c)) (*.f64 (fma.f64 d (/.f64 b (pow.f64 c #s(literal 4 binary64))) (/.f64 a (*.f64 c (*.f64 c c)))) d)) (/.f64 a c))
(/ b d)
(/.f64 b d)
(/ (+ b (/ (* a c) d)) d)
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/.f64 (+.f64 b (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d)) d)
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)
(/.f64 (-.f64 b (/.f64 (-.f64 (/.f64 (fma.f64 c (/.f64 (*.f64 a (*.f64 c c)) d) (*.f64 b (*.f64 c c))) d) (*.f64 a c)) d)) d)
(/ b d)
(/.f64 b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(/.f64 (+.f64 b (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d)) d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
(/.f64 (-.f64 b (/.f64 (-.f64 (/.f64 (fma.f64 c (/.f64 (*.f64 a (*.f64 c c)) d) (*.f64 b (*.f64 c c))) d) (*.f64 a c)) d)) d)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)

eval55.0ms (0.5%)

Memory
19.9MiB live, 136.8MiB allocated
Compiler

Compiled 17 230 to 1 014 computations (94.1% saved)

prune76.0ms (0.7%)

Memory
-25.4MiB live, 216.0MiB allocated
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New47013483
Fresh000
Picked101
Done000
Total47113484
Accuracy
98.8%
Counts
484 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
40.4%
(fma.f64 c (fma.f64 (neg.f64 c) (/.f64 b (*.f64 d (*.f64 d d))) (/.f64 a (*.f64 d d))) (/.f64 b d))
38.4%
(fma.f64 c (-.f64 (/.f64 a (*.f64 d d)) (*.f64 (fma.f64 a (/.f64 c (pow.f64 d #s(literal 4 binary64))) (/.f64 b (*.f64 d (*.f64 d d)))) c)) (/.f64 b d))
49.6%
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
37.6%
(pow.f64 (pow.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c c (*.f64 d d))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
56.7%
(/.f64 (fma.f64 b (/.f64 d c) a) c)
49.0%
(/.f64 (fma.f64 a (/.f64 c d) b) d)
53.6%
(/.f64 (+.f64 a (/.f64 (fma.f64 d (/.f64 (*.f64 d (neg.f64 a)) c) (*.f64 b d)) c)) c)
40.5%
(/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c)))
40.2%
(/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))
39.3%
(/.f64 b d)
44.0%
(/.f64 a c)
61.9%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d))))
61.9%
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a c (*.f64 b d))) (neg.f64 (fma.f64 c c (*.f64 d d)))))
Compiler

Compiled 436 to 252 computations (42.2% saved)

simplify885.0ms (8.4%)

Memory
26.0MiB live, 781.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 b (*.f64 d (*.f64 d d)))
cost-diff0
(neg.f64 c)
cost-diff0
(fma.f64 c (fma.f64 (neg.f64 c) (/.f64 b (*.f64 d (*.f64 d d))) (/.f64 a (*.f64 d d))) (/.f64 b d))
cost-diff640
(fma.f64 (neg.f64 c) (/.f64 b (*.f64 d (*.f64 d d))) (/.f64 a (*.f64 d d)))
cost-diff0
(/.f64 a c)
cost-diff0
(*.f64 c c)
cost-diff0
(/.f64 d (*.f64 c c))
cost-diff0
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
cost-diff0
(*.f64 c c)
cost-diff0
(fma.f64 d d (*.f64 c c))
cost-diff0
(*.f64 b d)
cost-diff0
(/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c)))
cost-diff0
(/.f64 a c)
cost-diff0
(*.f64 d d)
cost-diff0
(fma.f64 c c (*.f64 d d))
cost-diff0
(/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d)))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d))))
Rules
21 992×accelerator-lowering-fma.f32
21 992×accelerator-lowering-fma.f64
3 446×*-lowering-*.f32
3 446×*-lowering-*.f64
2 424×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028174
167172
2161170
3443169
41021168
51710168
63195166
74080166
84969166
96201166
106922166
117076166
127112166
137123166
147290166
157393166
167420166
177462166
187464166
197468166
207468166
08355156
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ 1 (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))))
1
(/ (+ (* c c) (* d d)) (+ (* a c) (* b d)))
(+ (* c c) (* d d))
c
(* d d)
d
(+ (* a c) (* b d))
a
(* b d)
b
(/ a c)
a
c
(/ (* b d) (+ (* d d) (* c c)))
(* b d)
b
d
(+ (* d d) (* c c))
(* c c)
c
(+ (* b (/ d (* c c))) (/ a c))
b
(/ d (* c c))
d
(* c c)
c
(/ a c)
a
(+ (* c (+ (* (neg c) (/ b (* d (* d d)))) (/ a (* d d)))) (/ b d))
c
(+ (* (neg c) (/ b (* d (* d d)))) (/ a (* d d)))
(neg c)
(/ b (* d (* d d)))
b
(* d (* d d))
d
(* d d)
(/ a (* d d))
a
(/ b d)
Outputs
(/ 1 (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))))
(/.f64 (fma.f64 c a (*.f64 d b)) (fma.f64 c c (*.f64 d d)))
1
#s(literal 1 binary64)
(/ (+ (* c c) (* d d)) (+ (* a c) (* b d)))
(/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 c a (*.f64 d b)))
(+ (* c c) (* d d))
(fma.f64 c c (*.f64 d d))
c
(* d d)
(*.f64 d d)
d
(+ (* a c) (* b d))
(fma.f64 c a (*.f64 d b))
a
(* b d)
(*.f64 d b)
b
(/ a c)
(/.f64 a c)
a
c
(/ (* b d) (+ (* d d) (* c c)))
(/.f64 (*.f64 d b) (fma.f64 c c (*.f64 d d)))
(* b d)
(*.f64 d b)
b
d
(+ (* d d) (* c c))
(fma.f64 c c (*.f64 d d))
(* c c)
(*.f64 c c)
c
(+ (* b (/ d (* c c))) (/ a c))
(fma.f64 d (/.f64 b (*.f64 c c)) (/.f64 a c))
b
(/ d (* c c))
(/.f64 d (*.f64 c c))
d
(* c c)
(*.f64 c c)
c
(/ a c)
(/.f64 a c)
a
(+ (* c (+ (* (neg c) (/ b (* d (* d d)))) (/ a (* d d)))) (/ b d))
(fma.f64 c (/.f64 (fma.f64 (/.f64 c d) (neg.f64 b) a) (*.f64 d d)) (/.f64 b d))
c
(+ (* (neg c) (/ b (* d (* d d)))) (/ a (* d d)))
(/.f64 (fma.f64 (/.f64 c d) (neg.f64 b) a) (*.f64 d d))
(neg c)
(neg.f64 c)
(/ b (* d (* d d)))
(/.f64 b (*.f64 d (*.f64 d d)))
b
(* d (* d d))
(*.f64 d (*.f64 d d))
d
(* d d)
(*.f64 d d)
(/ a (* d d))
(/.f64 a (*.f64 d d))
a
(/ b d)
(/.f64 b d)

localize101.0ms (1%)

Memory
-25.0MiB live, 183.0MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy93.0%
(/.f64 b (*.f64 d (*.f64 d d)))
accuracy86.3%
(/.f64 a (*.f64 d d))
accuracy84.7%
(fma.f64 (neg.f64 c) (/.f64 b (*.f64 d (*.f64 d d))) (/.f64 a (*.f64 d d)))
accuracy84.6%
(fma.f64 c (fma.f64 (neg.f64 c) (/.f64 b (*.f64 d (*.f64 d d))) (/.f64 a (*.f64 d d))) (/.f64 b d))
accuracy100.0%
(/.f64 a c)
accuracy100.0%
(*.f64 c c)
accuracy89.4%
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
accuracy89.3%
(/.f64 d (*.f64 c c))
accuracy100.0%
(fma.f64 d d (*.f64 c c))
accuracy100.0%
(*.f64 c c)
accuracy100.0%
(*.f64 b d)
accuracy76.4%
(/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c)))
accuracy100.0%
(/.f64 a c)
accuracy100.0%
(fma.f64 c c (*.f64 d d))
accuracy99.6%
(fma.f64 a c (*.f64 b d))
accuracy99.2%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d))))
accuracy62.8%
(/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d)))
Samples
64.0ms256×0valid
Compiler

Compiled 172 to 30 computations (82.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 45.0ms
ival-div: 24.0ms (53% of total)
ival-mult: 13.0ms (28.7% of total)
ival-add: 6.0ms (13.2% of total)
ival-neg: 1.0ms (2.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series44.0ms (0.4%)

Memory
15.4MiB live, 92.2MiB allocated
Counts
17 → 528
Calls
Call 1
Inputs
#<alt (/ 1 (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))))>
#<alt (/ (+ (* c c) (* d d)) (+ (* a c) (* b d)))>
#<alt (+ (* c c) (* d d))>
#<alt (* d d)>
#<alt (/ a c)>
#<alt (/ (* b d) (+ (* d d) (* c c)))>
#<alt (* b d)>
#<alt (+ (* d d) (* c c))>
#<alt (* c c)>
#<alt (+ (* b (/ d (* c c))) (/ a c))>
#<alt (/ d (* c c))>
#<alt (+ (* (neg c) (/ b (* d (* d d)))) (/ a (* d d)))>
#<alt (+ (* c (+ (* (neg c) (/ b (* d (* d d)))) (/ a (* d d)))) (/ b d))>
#<alt (neg c)>
#<alt (/ b (* d (* d d)))>
#<alt (+ (* a c) (* b d))>
#<alt (/ a (* d d))>
Outputs
#<alt (/ b d)>
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))>
#<alt (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))>
#<alt (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))>
#<alt (/ a c)>
#<alt (/ (+ a (/ (* b d) c)) c)>
#<alt (/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)>
#<alt (/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)>
#<alt (/ a c)>
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))>
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))>
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))>
#<alt (/ a c)>
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))>
#<alt (+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))>
#<alt (+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))>
#<alt (/ b d)>
#<alt (/ (+ b (/ (* a c) d)) d)>
#<alt (/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)>
#<alt (/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)>
#<alt (/ b d)>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))>
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))>
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))>
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))>
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))>
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))>
#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))>
#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))>
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))>
#<alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))>
#<alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))>
#<alt (/ d b)>
#<alt (+ (* -1 (/ (* a c) (pow b 2))) (/ d b))>
#<alt (+ (* c (- (* c (- (/ 1 (* b d)) (* -1 (/ (pow a 2) (* (pow b 3) d))))) (/ a (pow b 2)))) (/ d b))>
#<alt (+ (* c (- (* c (- (+ (* -1 (/ (* a (* c (- (/ 1 (* b d)) (* -1 (/ (pow a 2) (* (pow b 3) d)))))) (* b d))) (/ 1 (* b d))) (* -1 (/ (pow a 2) (* (pow b 3) d))))) (/ a (pow b 2)))) (/ d b))>
#<alt (/ c a)>
#<alt (* c (+ (* -1 (/ (* b d) (* (pow a 2) c))) (/ 1 a)))>
#<alt (* c (- (+ (/ 1 a) (/ (pow d 2) (* a (pow c 2)))) (+ (* -1 (/ (* (pow b 2) (pow d 2)) (* (pow a 3) (pow c 2)))) (/ (* b d) (* (pow a 2) c)))))>
#<alt (* c (- (+ (* -1 (/ (* b (* d (- (/ (pow d 2) a) (* -1 (/ (* (pow b 2) (pow d 2)) (pow a 3)))))) (* a (pow c 3)))) (+ (/ 1 a) (/ (pow d 2) (* a (pow c 2))))) (+ (* -1 (/ (* (pow b 2) (pow d 2)) (* (pow a 3) (pow c 2)))) (/ (* b d) (* (pow a 2) c)))))>
#<alt (/ c a)>
#<alt (* -1 (* c (- (/ (* b d) (* (pow a 2) c)) (/ 1 a))))>
#<alt (* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow d 2) a)) (/ (* (pow b 2) (pow d 2)) (pow a 3))) c)) (/ (* b d) (pow a 2))) c)) (/ 1 a))))>
#<alt (* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* b (* d (- (* -1 (/ (pow d 2) a)) (/ (* (pow b 2) (pow d 2)) (pow a 3))))) (* a c))) (* -1 (/ (pow d 2) a))) (/ (* (pow b 2) (pow d 2)) (pow a 3))) c)) (/ (* b d) (pow a 2))) c)) (/ 1 a))))>
#<alt (/ c a)>
#<alt (+ (* -1 (/ (* b d) (pow a 2))) (/ c a))>
#<alt (+ (* d (- (* d (- (/ 1 (* a c)) (* -1 (/ (pow b 2) (* (pow a 3) c))))) (/ b (pow a 2)))) (/ c a))>
#<alt (+ (* d (- (* d (- (+ (* -1 (/ (* b (* d (- (/ 1 (* a c)) (* -1 (/ (pow b 2) (* (pow a 3) c)))))) (* a c))) (/ 1 (* a c))) (* -1 (/ (pow b 2) (* (pow a 3) c))))) (/ b (pow a 2)))) (/ c a))>
#<alt (/ d b)>
#<alt (* d (+ (* -1 (/ (* a c) (* (pow b 2) d))) (/ 1 b)))>
#<alt (* d (- (+ (/ 1 b) (/ (pow c 2) (* b (pow d 2)))) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (* (pow b 3) (pow d 2)))) (/ (* a c) (* (pow b 2) d)))))>
#<alt (* d (- (+ (* -1 (/ (* a (* c (- (/ (pow c 2) b) (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 3)))))) (* b (pow d 3)))) (+ (/ 1 b) (/ (pow c 2) (* b (pow d 2))))) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (* (pow b 3) (pow d 2)))) (/ (* a c) (* (pow b 2) d)))))>
#<alt (/ d b)>
#<alt (* -1 (* d (- (/ (* a c) (* (pow b 2) d)) (/ 1 b))))>
#<alt (* -1 (* d (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow c 2) b)) (/ (* (pow a 2) (pow c 2)) (pow b 3))) d)) (/ (* a c) (pow b 2))) d)) (/ 1 b))))>
#<alt (* -1 (* d (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* a (* c (- (* -1 (/ (pow c 2) b)) (/ (* (pow a 2) (pow c 2)) (pow b 3))))) (* b d))) (* -1 (/ (pow c 2) b))) (/ (* (pow a 2) (pow c 2)) (pow b 3))) d)) (/ (* a c) (pow b 2))) d)) (/ 1 b))))>
#<alt (/ (+ (pow c 2) (pow d 2)) (* b d))>
#<alt (+ (* -1 (/ (* a (* c (+ (pow c 2) (pow d 2)))) (* (pow b 2) (pow d 2)))) (+ (/ d b) (/ (pow c 2) (* b d))))>
#<alt (+ (* a (- (/ (* a (* (pow c 2) (+ (pow c 2) (pow d 2)))) (* (pow b 3) (pow d 3))) (/ (* c (+ (pow c 2) (pow d 2))) (* (pow b 2) (pow d 2))))) (+ (/ d b) (/ (pow c 2) (* b d))))>
#<alt (+ (* a (- (* a (- (* -1 (/ (* a (* (pow c 3) (+ (pow c 2) (pow d 2)))) (* (pow b 4) (pow d 4)))) (* -1 (/ (* (pow c 2) (+ (pow c 2) (pow d 2))) (* (pow b 3) (pow d 3)))))) (/ (* c (+ (pow c 2) (pow d 2))) (* (pow b 2) (pow d 2))))) (+ (/ d b) (/ (pow c 2) (* b d))))>
#<alt (/ (+ (pow c 2) (pow d 2)) (* a c))>
#<alt (/ (+ c (+ (* -1 (/ (* b (* d (+ (pow c 2) (pow d 2)))) (* a (pow c 2)))) (/ (pow d 2) c))) a)>
#<alt (/ (- (+ c (+ (/ (* (pow b 2) (* (pow d 2) (+ (pow c 2) (pow d 2)))) (* (pow a 2) (pow c 3))) (/ (pow d 2) c))) (/ (* b (* d (+ (pow c 2) (pow d 2)))) (* a (pow c 2)))) a)>
#<alt (/ (- (+ c (+ (* -1 (/ (* (pow b 3) (* (pow d 3) (+ (pow c 2) (pow d 2)))) (* (pow a 3) (pow c 4)))) (/ (pow d 2) c))) (+ (* -1 (/ (* (pow b 2) (* (pow d 2) (+ (pow c 2) (pow d 2)))) (* (pow a 2) (pow c 3)))) (/ (* b (* d (+ (pow c 2) (pow d 2)))) (* a (pow c 2))))) a)>
#<alt (/ (+ (pow c 2) (pow d 2)) (* a c))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (pow c 2) (pow d 2)) c)) (/ (* b (* d (+ (pow c 2) (pow d 2)))) (* a (pow c 2)))) a))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (pow c 2) (pow d 2)) c)) (* -1 (/ (- (/ (* (pow b 2) (* (pow d 2) (+ (pow c 2) (pow d 2)))) (* a (pow c 3))) (/ (* b (* d (+ (pow c 2) (pow d 2)))) (pow c 2))) a))) a))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (pow c 2) (pow d 2)) c)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (* (pow d 3) (+ (pow c 2) (pow d 2)))) (* a (pow c 4))) (/ (* (pow b 2) (* (pow d 2) (+ (pow c 2) (pow d 2)))) (pow c 3))) a)) (/ (* b (* d (+ (pow c 2) (pow d 2)))) (pow c 2))) a))) a))>
#<alt (/ (+ (pow c 2) (pow d 2)) (* a c))>
#<alt (+ (* -1 (/ (* b (* d (+ (pow c 2) (pow d 2)))) (* (pow a 2) (pow c 2)))) (+ (/ c a) (/ (pow d 2) (* a c))))>
#<alt (+ (* b (- (/ (* b (* (pow d 2) (+ (pow c 2) (pow d 2)))) (* (pow a 3) (pow c 3))) (/ (* d (+ (pow c 2) (pow d 2))) (* (pow a 2) (pow c 2))))) (+ (/ c a) (/ (pow d 2) (* a c))))>
#<alt (+ (* b (- (* b (- (* -1 (/ (* b (* (pow d 3) (+ (pow c 2) (pow d 2)))) (* (pow a 4) (pow c 4)))) (* -1 (/ (* (pow d 2) (+ (pow c 2) (pow d 2))) (* (pow a 3) (pow c 3)))))) (/ (* d (+ (pow c 2) (pow d 2))) (* (pow a 2) (pow c 2))))) (+ (/ c a) (/ (pow d 2) (* a c))))>
#<alt (/ (+ (pow c 2) (pow d 2)) (* b d))>
#<alt (/ (+ d (+ (* -1 (/ (* a (* c (+ (pow c 2) (pow d 2)))) (* b (pow d 2)))) (/ (pow c 2) d))) b)>
#<alt (/ (- (+ d (+ (/ (* (pow a 2) (* (pow c 2) (+ (pow c 2) (pow d 2)))) (* (pow b 2) (pow d 3))) (/ (pow c 2) d))) (/ (* a (* c (+ (pow c 2) (pow d 2)))) (* b (pow d 2)))) b)>
#<alt (/ (- (+ d (+ (* -1 (/ (* (pow a 3) (* (pow c 3) (+ (pow c 2) (pow d 2)))) (* (pow b 3) (pow d 4)))) (/ (pow c 2) d))) (+ (* -1 (/ (* (pow a 2) (* (pow c 2) (+ (pow c 2) (pow d 2)))) (* (pow b 2) (pow d 3)))) (/ (* a (* c (+ (pow c 2) (pow d 2)))) (* b (pow d 2))))) b)>
#<alt (/ (+ (pow c 2) (pow d 2)) (* b d))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (pow c 2) (pow d 2)) d)) (/ (* a (* c (+ (pow c 2) (pow d 2)))) (* b (pow d 2)))) b))>
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#<alt (* b (+ d (/ (* a c) b)))>
#<alt (* b d)>
#<alt (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))>
#<alt (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))>
#<alt (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))>
#<alt (* a c)>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (* b d)>
#<alt (* d (+ b (/ (* a c) d)))>
#<alt (* d (+ b (/ (* a c) d)))>
#<alt (* d (+ b (/ (* a c) d)))>
#<alt (* b d)>
#<alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))>
#<alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))>
#<alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))>
#<alt (/ a (pow d 2))>
#<alt (/ a (pow d 2))>
#<alt (/ a (pow d 2))>
#<alt (/ a (pow d 2))>
#<alt (/ a (pow d 2))>
#<alt (/ a (pow d 2))>
#<alt (/ a (pow d 2))>
#<alt (/ a (pow d 2))>
#<alt (/ a (pow d 2))>
#<alt (/ a (pow d 2))>
#<alt (/ a (pow d 2))>
#<alt (/ a (pow d 2))>
#<alt (/ a (pow d 2))>
#<alt (/ a (pow d 2))>
#<alt (/ a (pow d 2))>
#<alt (/ a (pow d 2))>
#<alt (/ a (pow d 2))>
#<alt (/ a (pow d 2))>
#<alt (/ a (pow d 2))>
#<alt (/ a (pow d 2))>
#<alt (/ a (pow d 2))>
#<alt (/ a (pow d 2))>
#<alt (/ a (pow d 2))>
#<alt (/ a (pow d 2))>
Calls

132 calls:

TimeVariablePointExpression
3.0ms
c
@inf
(/ (* b d) (+ (* d d) (* c c)))
2.0ms
b
@-inf
(+ (* b (/ d (* c c))) (/ a c))
2.0ms
a
@inf
(/ a (* d d))
1.0ms
c
@0
(/ (* b d) (+ (* d d) (* c c)))
1.0ms
c
@0
(+ (* (neg c) (/ b (* d (* d d)))) (/ a (* d d)))

rewrite351.0ms (3.3%)

Memory
5.0MiB live, 512.0MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 738×/-lowering-/.f32
5 738×/-lowering-/.f64
5 642×accelerator-lowering-fma.f32
5 642×accelerator-lowering-fma.f64
3 980×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028138
1193134
21875130
08599120
Stop Event
iter limit
node limit
Counts
17 → 758
Calls
Call 1
Inputs
(/ 1 (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))))
(/ (+ (* c c) (* d d)) (+ (* a c) (* b d)))
(+ (* c c) (* d d))
(* d d)
(/ a c)
(/ (* b d) (+ (* d d) (* c c)))
(* b d)
(+ (* d d) (* c c))
(* c c)
(+ (* b (/ d (* c c))) (/ a c))
(/ d (* c c))
(+ (* (neg c) (/ b (* d (* d d)))) (/ a (* d d)))
(+ (* c (+ (* (neg c) (/ b (* d (* d d)))) (/ a (* d d)))) (/ b d))
(neg c)
(/ b (* d (* d d)))
(+ (* a c) (* b d))
(/ a (* d d))
Outputs
(+.f64 (/.f64 (*.f64 d b) (fma.f64 d d (*.f64 c c))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 c a)))
(+.f64 (/.f64 (*.f64 d b) (fma.f64 d d (*.f64 c c))) (*.f64 (*.f64 c a) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c)))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 c a)) (/.f64 (*.f64 d b) (fma.f64 d d (*.f64 c c))))
(+.f64 (*.f64 (*.f64 c a) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c)))) (/.f64 (*.f64 d b) (fma.f64 d d (*.f64 c c))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 c a (*.f64 d b)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 d d (*.f64 c c)))) (/.f64 (fma.f64 c a (*.f64 d b)) (neg.f64 (fma.f64 d d (*.f64 c c)))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (-.f64 (*.f64 c a) (*.f64 d b))) (fma.f64 d d (*.f64 c c))) (/.f64 (/.f64 (*.f64 d (*.f64 b (*.f64 d b))) (-.f64 (*.f64 c a) (*.f64 d b))) (fma.f64 d d (*.f64 c c))))
(-.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (*.f64 (fma.f64 d d (*.f64 c c)) (-.f64 (*.f64 c a) (*.f64 d b)))) (/.f64 (*.f64 d (*.f64 b (*.f64 d b))) (*.f64 (fma.f64 d d (*.f64 c c)) (-.f64 (*.f64 c a) (*.f64 d b)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 d b) (fma.f64 d d (*.f64 c c))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 c a)))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 d b) (fma.f64 d d (*.f64 c c))) (*.f64 (*.f64 c a) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c)))))
(fma.f64 d (*.f64 b (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 c a)))
(fma.f64 d (*.f64 b (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c)))) (*.f64 (*.f64 c a) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c)))))
(fma.f64 d (/.f64 b (fma.f64 d d (*.f64 c c))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 c a)))
(fma.f64 d (/.f64 b (fma.f64 d d (*.f64 c c))) (*.f64 (*.f64 c a) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c)))))
(fma.f64 (*.f64 c a) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 d b) (fma.f64 d d (*.f64 c c))))
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 c a)))
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (*.f64 (*.f64 c a) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c)))))
(fma.f64 (*.f64 d b) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 c a)))
(fma.f64 (*.f64 d b) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 (*.f64 c a) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c)))))
(fma.f64 (*.f64 d (neg.f64 b)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 d d (*.f64 c c)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 c a)))
(fma.f64 (*.f64 d (neg.f64 b)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 d d (*.f64 c c)))) (*.f64 (*.f64 c a) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 c a) (/.f64 (*.f64 d b) (fma.f64 d d (*.f64 c c))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 d b) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 c a)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 d b) (*.f64 (*.f64 c a) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 d b)) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 c a)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 d b)) #s(literal -1 binary64)) (*.f64 (*.f64 c a) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c)))))
(fma.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 c a)))
(fma.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b (*.f64 (*.f64 c a) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c)))))
(fma.f64 (/.f64 d #s(literal 1 binary64)) (/.f64 b (fma.f64 d d (*.f64 c c))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 c a)))
(fma.f64 (/.f64 d #s(literal 1 binary64)) (/.f64 b (fma.f64 d d (*.f64 c c))) (*.f64 (*.f64 c a) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c)))))
(fma.f64 (/.f64 d (fma.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d))))) (/.f64 b (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 c (*.f64 c (*.f64 c c)))))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 c a)))
(fma.f64 (/.f64 d (fma.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d))))) (/.f64 b (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 c (*.f64 c (*.f64 c c)))))) (*.f64 (*.f64 c a) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c)))))
(fma.f64 (/.f64 d (fma.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d))))) (/.f64 b (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)) (*.f64 d (*.f64 d (*.f64 d d)))))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 c a)))
(fma.f64 (/.f64 d (fma.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d))))) (/.f64 b (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)) (*.f64 d (*.f64 d (*.f64 d d)))))) (*.f64 (*.f64 c a) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c)))))
(fma.f64 (/.f64 d (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d)))) (/.f64 b (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 c d) (-.f64 c d)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 c a)))
(fma.f64 (/.f64 d (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d)))) (/.f64 b (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 c d) (-.f64 c d)))) (*.f64 (*.f64 c a) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c)))))
(fma.f64 (/.f64 d (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 d c) (-.f64 d c)))) (/.f64 b (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 d c) (-.f64 d c)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 c a)))
(fma.f64 (/.f64 d (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 d c) (-.f64 d c)))) (/.f64 b (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 d c) (-.f64 d c)))) (*.f64 (*.f64 c a) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c)))))
(fma.f64 (/.f64 (*.f64 d b) (fma.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d))))) (fma.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 c a)))
(fma.f64 (/.f64 (*.f64 d b) (fma.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d))))) (fma.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 c a) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c)))))
(fma.f64 (/.f64 (*.f64 d b) (fma.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d))))) (fma.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)) (*.f64 d (*.f64 d (*.f64 d d)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 c a)))
(fma.f64 (/.f64 (*.f64 d b) (fma.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d))))) (fma.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)) (*.f64 d (*.f64 d (*.f64 d d)))) (*.f64 (*.f64 c a) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c)))))
(fma.f64 (/.f64 (*.f64 d b) (fma.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 c (*.f64 c (*.f64 c c)))))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 c a)))
(fma.f64 (/.f64 (*.f64 d b) (fma.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 c (*.f64 c (*.f64 c c)))))) (*.f64 (*.f64 c a) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c)))))
(fma.f64 (/.f64 (*.f64 d b) (fma.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)) (*.f64 d (*.f64 d (*.f64 d d)))))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 c a)))
(fma.f64 (/.f64 (*.f64 d b) (fma.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)) (*.f64 d (*.f64 d (*.f64 d d)))))) (*.f64 (*.f64 c a) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c)))))
(fma.f64 (/.f64 (*.f64 d b) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d)))) (*.f64 (+.f64 c d) (-.f64 c d)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 c a)))
(fma.f64 (/.f64 (*.f64 d b) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d)))) (*.f64 (+.f64 c d) (-.f64 c d)) (*.f64 (*.f64 c a) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c)))))
(fma.f64 (/.f64 (*.f64 d b) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 c d) (-.f64 c d)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 c a)))
(fma.f64 (/.f64 (*.f64 d b) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 c d) (-.f64 c d)))) (*.f64 (*.f64 c a) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c)))))
(fma.f64 (/.f64 (*.f64 d b) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 d c) (-.f64 d c)))) (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 c a)))
(fma.f64 (/.f64 (*.f64 d b) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 d c) (-.f64 d c)))) (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 (*.f64 c a) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c)))))
(fma.f64 (/.f64 (*.f64 d b) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 d c) (-.f64 d c)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 d c) (-.f64 d c)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 c a)))
(fma.f64 (/.f64 (*.f64 d b) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 d c) (-.f64 d c)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 d c) (-.f64 d c)))) (*.f64 (*.f64 c a) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c)))))
(fma.f64 (/.f64 d #s(literal -1 binary64)) (/.f64 (neg.f64 b) (fma.f64 d d (*.f64 c c))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 c a)))
(fma.f64 (/.f64 d #s(literal -1 binary64)) (/.f64 (neg.f64 b) (fma.f64 d d (*.f64 c c))) (*.f64 (*.f64 c a) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c)))))
(fma.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 (neg.f64 d) (fma.f64 d d (*.f64 c c))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 c a)))
(fma.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 (neg.f64 d) (fma.f64 d d (*.f64 c c))) (*.f64 (*.f64 c a) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c)))))
(fma.f64 (/.f64 (neg.f64 b) #s(literal -1 binary64)) (/.f64 d (fma.f64 d d (*.f64 c c))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 c a)))
(fma.f64 (/.f64 (neg.f64 b) #s(literal -1 binary64)) (/.f64 d (fma.f64 d d (*.f64 c c))) (*.f64 (*.f64 c a) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c)))))
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(/.f64 (neg.f64 (neg.f64 (*.f64 c c))) (neg.f64 (+.f64 #s(literal 0 binary64) c)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 c (*.f64 c c))) (+.f64 #s(literal 0 binary64) (fma.f64 c c (*.f64 #s(literal 0 binary64) c))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 c (*.f64 c c)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 c c (*.f64 #s(literal 0 binary64) c)))))
(/.f64 (+.f64 #s(literal 0 binary64) (neg.f64 (*.f64 c (*.f64 c c)))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 c c) (*.f64 #s(literal 0 binary64) (neg.f64 c)))))
(*.f64 c #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) c)
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 d (*.f64 d d)) b)) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 d (*.f64 d d)))) (/.f64 b (neg.f64 (*.f64 d (*.f64 d d)))))
(neg.f64 (/.f64 b (neg.f64 (*.f64 d (*.f64 d d)))))
(neg.f64 (/.f64 (neg.f64 b) (*.f64 d (*.f64 d d))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 d (*.f64 d d)) b))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 d (*.f64 d d)) b))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 d (*.f64 d d)) (*.f64 b #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 d (/.f64 b (*.f64 d d))))
(/.f64 #s(literal 1 binary64) (/.f64 d (/.f64 (/.f64 b d) d)))
(/.f64 b (*.f64 d (*.f64 d d)))
(/.f64 (/.f64 b d) (*.f64 d d))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 d (*.f64 d d)) b)))
(/.f64 (neg.f64 b) (neg.f64 (*.f64 d (*.f64 d d))))
(/.f64 (*.f64 b #s(literal 1 binary64)) (*.f64 d (*.f64 d d)))
(/.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 (*.f64 d (*.f64 d d)))))
(/.f64 (neg.f64 (/.f64 b d)) (neg.f64 (*.f64 d d)))
(/.f64 (/.f64 b (*.f64 d d)) d)
(/.f64 (/.f64 (/.f64 b d) d) d)
(/.f64 (neg.f64 (*.f64 b #s(literal 1 binary64))) (neg.f64 (*.f64 d (*.f64 d d))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 b))) (neg.f64 (neg.f64 (neg.f64 (*.f64 d (*.f64 d d))))))
(/.f64 (neg.f64 (neg.f64 (/.f64 b d))) (neg.f64 (neg.f64 (*.f64 d d))))
(/.f64 (neg.f64 (/.f64 b (*.f64 d d))) (neg.f64 d))
(/.f64 (neg.f64 (/.f64 (/.f64 b d) d)) (neg.f64 d))
(pow.f64 (/.f64 (*.f64 d (*.f64 d d)) b) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 d b) (*.f64 d d)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 b (*.f64 d (*.f64 d d))))
(*.f64 b (/.f64 #s(literal 1 binary64) (*.f64 d (*.f64 d d))))
(*.f64 (/.f64 b d) (/.f64 #s(literal 1 binary64) (*.f64 d d)))
(*.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 d (*.f64 d d)))))
(*.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 b (*.f64 d d)))
(*.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 (/.f64 b d) d))
(*.f64 (/.f64 #s(literal 1 binary64) d) (pow.f64 (/.f64 (*.f64 d d) b) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 d d)) (/.f64 b d))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 d (*.f64 d d))) b)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 d (*.f64 d d))) (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64)))
(*.f64 (/.f64 b (*.f64 d d)) (/.f64 #s(literal 1 binary64) d))
(*.f64 (/.f64 (neg.f64 b) d) (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 d)) d))
(*.f64 (/.f64 b (pow.f64 d #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 d #s(literal 3/2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) d) (/.f64 b (neg.f64 (*.f64 d d))))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 d d)) (/.f64 b (neg.f64 d)))
(+.f64 (*.f64 c a) (*.f64 d b))
(+.f64 (*.f64 d b) (*.f64 c a))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c a (*.f64 d b)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (-.f64 (*.f64 c a) (*.f64 d b))) (/.f64 (*.f64 d (*.f64 b (*.f64 d b))) (-.f64 (*.f64 c a) (*.f64 d b))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (-.f64 (*.f64 c a) (*.f64 d b))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 d (*.f64 b (*.f64 d b))) (-.f64 (*.f64 c a) (*.f64 d b))) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 d (*.f64 b (*.f64 d b))) (-.f64 (*.f64 d b) (*.f64 c a))) (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (-.f64 (*.f64 d b) (*.f64 c a))))
(fma.f64 c a (*.f64 d b))
(fma.f64 d b (*.f64 c a))
(fma.f64 a c (*.f64 d b))
(fma.f64 b d (*.f64 c a))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 c a (*.f64 d b))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d (*.f64 b (*.f64 d b)) (-.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (*.f64 c (*.f64 a (*.f64 d b))))) (fma.f64 (*.f64 c a) (*.f64 (*.f64 c c) (*.f64 a a)) (*.f64 (*.f64 d b) (*.f64 d (*.f64 b (*.f64 d b)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (-.f64 (*.f64 d (*.f64 b (*.f64 d b))) (*.f64 (*.f64 c c) (*.f64 a a)))))
(/.f64 (fma.f64 c a (*.f64 d b)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c a (*.f64 d b)))))
(/.f64 (neg.f64 (fma.f64 c a (*.f64 d b))) #s(literal -1 binary64))
(/.f64 (fma.f64 (*.f64 c a) (*.f64 (*.f64 c c) (*.f64 a a)) (*.f64 (*.f64 d b) (*.f64 d (*.f64 b (*.f64 d b))))) (fma.f64 (*.f64 d b) (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 (*.f64 c c) (*.f64 a a))))
(/.f64 (fma.f64 (*.f64 c a) (*.f64 (*.f64 c c) (*.f64 a a)) (*.f64 (*.f64 d b) (*.f64 d (*.f64 b (*.f64 d b))))) (fma.f64 d (*.f64 b (*.f64 d b)) (-.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (*.f64 c (*.f64 a (*.f64 d b))))))
(/.f64 (*.f64 (fma.f64 c a (*.f64 d b)) (-.f64 (*.f64 c a) (*.f64 d b))) (-.f64 (*.f64 c a) (*.f64 d b)))
(/.f64 (neg.f64 (fma.f64 (*.f64 c a) (*.f64 (*.f64 c c) (*.f64 a a)) (*.f64 (*.f64 d b) (*.f64 d (*.f64 b (*.f64 d b)))))) (neg.f64 (fma.f64 (*.f64 d b) (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 (*.f64 c c) (*.f64 a a)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 c a) (*.f64 (*.f64 c c) (*.f64 a a)) (*.f64 (*.f64 d b) (*.f64 d (*.f64 b (*.f64 d b)))))) (neg.f64 (fma.f64 d (*.f64 b (*.f64 d b)) (-.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (*.f64 c (*.f64 a (*.f64 d b)))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 c a (*.f64 d b)) (-.f64 (*.f64 c a) (*.f64 d b)))) (neg.f64 (-.f64 (*.f64 c a) (*.f64 d b))))
(/.f64 (-.f64 (*.f64 d (*.f64 b (*.f64 d b))) (*.f64 (*.f64 c c) (*.f64 a a))) (-.f64 (*.f64 d b) (*.f64 c a)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 c a) (*.f64 (*.f64 c c) (*.f64 a a)) (*.f64 (*.f64 d b) (*.f64 d (*.f64 b (*.f64 d b))))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 d b) (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 (*.f64 c c) (*.f64 a a))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 c a (*.f64 d b)) (-.f64 (*.f64 c a) (*.f64 d b))))) (neg.f64 (neg.f64 (-.f64 (*.f64 c a) (*.f64 d b)))))
(/.f64 (neg.f64 (-.f64 (*.f64 d (*.f64 b (*.f64 d b))) (*.f64 (*.f64 c c) (*.f64 a a)))) (neg.f64 (-.f64 (*.f64 d b) (*.f64 c a))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (-.f64 (*.f64 c a) (*.f64 d b))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 d (*.f64 b (*.f64 d b))) (-.f64 (*.f64 c a) (*.f64 d b))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (-.f64 (*.f64 c a) (*.f64 d b))) (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (-.f64 (*.f64 c a) (*.f64 d b))) (fma.f64 (/.f64 (*.f64 d (*.f64 b (*.f64 d b))) (-.f64 (*.f64 c a) (*.f64 d b))) (/.f64 (*.f64 d (*.f64 b (*.f64 d b))) (-.f64 (*.f64 c a) (*.f64 d b))) (*.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (-.f64 (*.f64 c a) (*.f64 d b))) (/.f64 (*.f64 d (*.f64 b (*.f64 d b))) (-.f64 (*.f64 c a) (*.f64 d b)))))))
(pow.f64 (fma.f64 c a (*.f64 d b)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c a (*.f64 d b))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 c a (*.f64 d b)))
(*.f64 (fma.f64 (*.f64 c a) (*.f64 (*.f64 c c) (*.f64 a a)) (*.f64 (*.f64 d b) (*.f64 d (*.f64 b (*.f64 d b))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 d b) (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 (*.f64 c c) (*.f64 a a)))))
(*.f64 (*.f64 (fma.f64 c a (*.f64 d b)) (-.f64 (*.f64 c a) (*.f64 d b))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 c a) (*.f64 d b))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c a) (*.f64 (*.f64 c c) (*.f64 a a)) (*.f64 (*.f64 d b) (*.f64 d (*.f64 b (*.f64 d b)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 d b) (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 (*.f64 c c) (*.f64 a a)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 c a (*.f64 d b)) (-.f64 (*.f64 c a) (*.f64 d b)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 c a) (*.f64 d b))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 d d) a)) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 d d))) (/.f64 a (neg.f64 (*.f64 d d))))
(neg.f64 (/.f64 a (neg.f64 (*.f64 d d))))
(neg.f64 (/.f64 (neg.f64 a) (*.f64 d d)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 d d) a))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 d d) a))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 d d) (*.f64 a #s(literal 1 binary64))))
(/.f64 a (*.f64 d d))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 d d) a)))
(/.f64 (neg.f64 a) (neg.f64 (*.f64 d d)))
(/.f64 (/.f64 a d) d)
(/.f64 (*.f64 a #s(literal 1 binary64)) (*.f64 d d))
(/.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 (*.f64 d d))))
(/.f64 (neg.f64 (/.f64 a d)) (neg.f64 d))
(/.f64 (neg.f64 (*.f64 a #s(literal 1 binary64))) (neg.f64 (*.f64 d d)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 a))) (neg.f64 (neg.f64 (neg.f64 (*.f64 d d)))))
(/.f64 (neg.f64 (neg.f64 (/.f64 a d))) (neg.f64 (neg.f64 d)))
(pow.f64 (/.f64 (*.f64 d d) a) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 a (*.f64 d d)))
(*.f64 a (/.f64 #s(literal 1 binary64) (*.f64 d d)))
(*.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 d d))))
(*.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 a d))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 d d)) a)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 d d)) (pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64)))
(*.f64 (/.f64 a d) (/.f64 #s(literal 1 binary64) d))
(*.f64 (/.f64 #s(literal -1 binary64) d) (/.f64 a (neg.f64 d)))

simplify521.0ms (5%)

Memory
18.5MiB live, 549.2MiB allocated
Algorithm
egg-herbie
Rules
7 688×*-lowering-*.f32
7 688×*-lowering-*.f64
7 458×accelerator-lowering-fma.f32
7 458×accelerator-lowering-fma.f64
3 578×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06996714
123786525
086356217
Stop Event
iter limit
node limit
Counts
528 → 528
Calls
Call 1
Inputs
(/ b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(/ a c)
(/ (+ a (/ (* b d) c)) c)
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)
(/ a c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))
(/ a c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))
(/ b d)
(/ (+ b (/ (* a c) d)) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)
(/ b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(/ d b)
(+ (* -1 (/ (* a c) (pow b 2))) (/ d b))
(+ (* c (- (* c (- (/ 1 (* b d)) (* -1 (/ (pow a 2) (* (pow b 3) d))))) (/ a (pow b 2)))) (/ d b))
(+ (* c (- (* c (- (+ (* -1 (/ (* a (* c (- (/ 1 (* b d)) (* -1 (/ (pow a 2) (* (pow b 3) d)))))) (* b d))) (/ 1 (* b d))) (* -1 (/ (pow a 2) (* (pow b 3) d))))) (/ a (pow b 2)))) (/ d b))
(/ c a)
(* c (+ (* -1 (/ (* b d) (* (pow a 2) c))) (/ 1 a)))
(* c (- (+ (/ 1 a) (/ (pow d 2) (* a (pow c 2)))) (+ (* -1 (/ (* (pow b 2) (pow d 2)) (* (pow a 3) (pow c 2)))) (/ (* b d) (* (pow a 2) c)))))
(* c (- (+ (* -1 (/ (* b (* d (- (/ (pow d 2) a) (* -1 (/ (* (pow b 2) (pow d 2)) (pow a 3)))))) (* a (pow c 3)))) (+ (/ 1 a) (/ (pow d 2) (* a (pow c 2))))) (+ (* -1 (/ (* (pow b 2) (pow d 2)) (* (pow a 3) (pow c 2)))) (/ (* b d) (* (pow a 2) c)))))
(/ c a)
(* -1 (* c (- (/ (* b d) (* (pow a 2) c)) (/ 1 a))))
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow d 2) a)) (/ (* (pow b 2) (pow d 2)) (pow a 3))) c)) (/ (* b d) (pow a 2))) c)) (/ 1 a))))
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* b (* d (- (* -1 (/ (pow d 2) a)) (/ (* (pow b 2) (pow d 2)) (pow a 3))))) (* a c))) (* -1 (/ (pow d 2) a))) (/ (* (pow b 2) (pow d 2)) (pow a 3))) c)) (/ (* b d) (pow a 2))) c)) (/ 1 a))))
(/ c a)
(+ (* -1 (/ (* b d) (pow a 2))) (/ c a))
(+ (* d (- (* d (- (/ 1 (* a c)) (* -1 (/ (pow b 2) (* (pow a 3) c))))) (/ b (pow a 2)))) (/ c a))
(+ (* d (- (* d (- (+ (* -1 (/ (* b (* d (- (/ 1 (* a c)) (* -1 (/ (pow b 2) (* (pow a 3) c)))))) (* a c))) (/ 1 (* a c))) (* -1 (/ (pow b 2) (* (pow a 3) c))))) (/ b (pow a 2)))) (/ c a))
(/ d b)
(* d (+ (* -1 (/ (* a c) (* (pow b 2) d))) (/ 1 b)))
(* d (- (+ (/ 1 b) (/ (pow c 2) (* b (pow d 2)))) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (* (pow b 3) (pow d 2)))) (/ (* a c) (* (pow b 2) d)))))
(* d (- (+ (* -1 (/ (* a (* c (- (/ (pow c 2) b) (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 3)))))) (* b (pow d 3)))) (+ (/ 1 b) (/ (pow c 2) (* b (pow d 2))))) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (* (pow b 3) (pow d 2)))) (/ (* a c) (* (pow b 2) d)))))
(/ d b)
(* -1 (* d (- (/ (* a c) (* (pow b 2) d)) (/ 1 b))))
(* -1 (* d (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow c 2) b)) (/ (* (pow a 2) (pow c 2)) (pow b 3))) d)) (/ (* a c) (pow b 2))) d)) (/ 1 b))))
(* -1 (* d (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* a (* c (- (* -1 (/ (pow c 2) b)) (/ (* (pow a 2) (pow c 2)) (pow b 3))))) (* b d))) (* -1 (/ (pow c 2) b))) (/ (* (pow a 2) (pow c 2)) (pow b 3))) d)) (/ (* a c) (pow b 2))) d)) (/ 1 b))))
(/ (+ (pow c 2) (pow d 2)) (* b d))
(+ (* -1 (/ (* a (* c (+ (pow c 2) (pow d 2)))) (* (pow b 2) (pow d 2)))) (+ (/ d b) (/ (pow c 2) (* b d))))
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(* b d)
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(/ a (pow d 2))
(/ a (pow d 2))
(/ a (pow d 2))
(/ a (pow d 2))
(/ a (pow d 2))
(/ a (pow d 2))
(/ a (pow d 2))
(/ a (pow d 2))
(/ a (pow d 2))
(/ a (pow d 2))
(/ a (pow d 2))
(/ a (pow d 2))
(/ a (pow d 2))
(/ a (pow d 2))
(/ a (pow d 2))
(/ a (pow d 2))
(/ a (pow d 2))
(/ a (pow d 2))
(/ a (pow d 2))
(/ a (pow d 2))
(/ a (pow d 2))
(/ a (pow d 2))
(/ a (pow d 2))
(/ a (pow d 2))
Outputs
(/ b d)
(/.f64 b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(fma.f64 c (-.f64 (/.f64 a (*.f64 d d)) (/.f64 (*.f64 b c) (*.f64 d (*.f64 d d)))) (/.f64 b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(fma.f64 c (fma.f64 c (neg.f64 (fma.f64 a (/.f64 c (*.f64 d (*.f64 d (*.f64 d d)))) (/.f64 b (*.f64 d (*.f64 d d))))) (/.f64 a (*.f64 d d))) (/.f64 b d))
(/ a c)
(/.f64 a c)
(/ (+ a (/ (* b d) c)) c)
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)
(/.f64 (fma.f64 b (/.f64 d c) (fma.f64 (neg.f64 a) (*.f64 d (/.f64 d (*.f64 c c))) a)) c)
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)
(/.f64 (-.f64 (fma.f64 (neg.f64 b) (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c (*.f64 c c))) (fma.f64 b (/.f64 d c) a)) (*.f64 a (*.f64 d (/.f64 d (*.f64 c c))))) c)
(/ a c)
(/.f64 a c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(neg.f64 (/.f64 (neg.f64 (fma.f64 b (/.f64 d c) a)) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))
(/.f64 (-.f64 (neg.f64 a) (/.f64 (-.f64 (*.f64 b d) (/.f64 (*.f64 d (*.f64 d a)) c)) c)) (neg.f64 c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))
(/.f64 (-.f64 (neg.f64 a) (/.f64 (-.f64 (*.f64 b d) (/.f64 (fma.f64 b (*.f64 d (/.f64 (*.f64 d d) c)) (*.f64 d (*.f64 d a))) c)) c)) (neg.f64 c))
(/ a c)
(/.f64 a c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))
(fma.f64 d (-.f64 (/.f64 b (*.f64 c c)) (*.f64 a (/.f64 d (*.f64 c (*.f64 c c))))) (/.f64 a c))
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))
(fma.f64 d (fma.f64 d (neg.f64 (fma.f64 b (/.f64 d (*.f64 c (*.f64 c (*.f64 c c)))) (/.f64 a (*.f64 c (*.f64 c c))))) (/.f64 b (*.f64 c c))) (/.f64 a c))
(/ b d)
(/.f64 b d)
(/ (+ b (/ (* a c) d)) d)
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/.f64 (fma.f64 (neg.f64 b) (/.f64 (*.f64 c c) (*.f64 d d)) (fma.f64 a (/.f64 c d) b)) d)
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)
(/.f64 (-.f64 (fma.f64 a (/.f64 c d) (fma.f64 (neg.f64 a) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 d (*.f64 d d))) b)) (/.f64 (*.f64 b (*.f64 c c)) (*.f64 d d))) d)
(/ b d)
(/.f64 b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/.f64 (neg.f64 (fma.f64 a (/.f64 c d) b)) (neg.f64 d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(/.f64 (-.f64 (neg.f64 b) (/.f64 (-.f64 (*.f64 a c) (/.f64 (*.f64 b (*.f64 c c)) d)) d)) (neg.f64 d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
(/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 a c (/.f64 (fma.f64 (*.f64 c (*.f64 c c)) (/.f64 a d) (*.f64 b (*.f64 c c))) (neg.f64 d))) d)) (neg.f64 d))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 a (/.f64 c (fma.f64 d d (*.f64 c c))) (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 a (/.f64 c (fma.f64 d d (*.f64 c c))) (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 a (/.f64 c (fma.f64 d d (*.f64 c c))) (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(*.f64 a (fma.f64 d (/.f64 b (*.f64 a (fma.f64 d d (*.f64 c c)))) (/.f64 c (fma.f64 d d (*.f64 c c)))))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(*.f64 a (fma.f64 d (/.f64 b (*.f64 a (fma.f64 d d (*.f64 c c)))) (/.f64 c (fma.f64 d d (*.f64 c c)))))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(*.f64 a (fma.f64 d (/.f64 b (*.f64 a (fma.f64 d d (*.f64 c c)))) (/.f64 c (fma.f64 d d (*.f64 c c)))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(neg.f64 (*.f64 (neg.f64 a) (fma.f64 d (/.f64 b (*.f64 a (fma.f64 d d (*.f64 c c)))) (/.f64 c (fma.f64 d d (*.f64 c c))))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(neg.f64 (*.f64 (neg.f64 a) (fma.f64 d (/.f64 b (*.f64 a (fma.f64 d d (*.f64 c c)))) (/.f64 c (fma.f64 d d (*.f64 c c))))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(neg.f64 (*.f64 (neg.f64 a) (fma.f64 d (/.f64 b (*.f64 a (fma.f64 d d (*.f64 c c)))) (/.f64 c (fma.f64 d d (*.f64 c c))))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 a (/.f64 c (fma.f64 d d (*.f64 c c))) (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 a (/.f64 c (fma.f64 d d (*.f64 c c))) (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 a (/.f64 c (fma.f64 d d (*.f64 c c))) (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(*.f64 b (fma.f64 a (/.f64 c (*.f64 b (fma.f64 d d (*.f64 c c)))) (/.f64 d (fma.f64 d d (*.f64 c c)))))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(*.f64 b (fma.f64 a (/.f64 c (*.f64 b (fma.f64 d d (*.f64 c c)))) (/.f64 d (fma.f64 d d (*.f64 c c)))))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(*.f64 b (fma.f64 a (/.f64 c (*.f64 b (fma.f64 d d (*.f64 c c)))) (/.f64 d (fma.f64 d d (*.f64 c c)))))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(*.f64 (neg.f64 b) (neg.f64 (fma.f64 a (/.f64 c (*.f64 b (fma.f64 d d (*.f64 c c)))) (/.f64 d (fma.f64 d d (*.f64 c c))))))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(*.f64 (neg.f64 b) (neg.f64 (fma.f64 a (/.f64 c (*.f64 b (fma.f64 d d (*.f64 c c)))) (/.f64 d (fma.f64 d d (*.f64 c c))))))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(*.f64 (neg.f64 b) (neg.f64 (fma.f64 a (/.f64 c (*.f64 b (fma.f64 d d (*.f64 c c)))) (/.f64 d (fma.f64 d d (*.f64 c c))))))
(/ d b)
(/.f64 d b)
(+ (* -1 (/ (* a c) (pow b 2))) (/ d b))
(-.f64 (/.f64 d b) (*.f64 c (/.f64 a (*.f64 b b))))
(+ (* c (- (* c (- (/ 1 (* b d)) (* -1 (/ (pow a 2) (* (pow b 3) d))))) (/ a (pow b 2)))) (/ d b))
(fma.f64 c (fma.f64 c (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b d)) (/.f64 (*.f64 a a) (*.f64 b (*.f64 b (*.f64 b d))))) (/.f64 a (*.f64 (neg.f64 b) b))) (/.f64 d b))
(+ (* c (- (* c (- (+ (* -1 (/ (* a (* c (- (/ 1 (* b d)) (* -1 (/ (pow a 2) (* (pow b 3) d)))))) (* b d))) (/ 1 (* b d))) (* -1 (/ (pow a 2) (* (pow b 3) d))))) (/ a (pow b 2)))) (/ d b))
(fma.f64 c (fma.f64 c (fma.f64 (neg.f64 a) (*.f64 c (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b d)) (/.f64 (*.f64 a a) (*.f64 b (*.f64 b (*.f64 b d))))) (*.f64 b d))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b d)) (/.f64 (*.f64 a a) (*.f64 b (*.f64 b (*.f64 b d)))))) (/.f64 a (*.f64 (neg.f64 b) b))) (/.f64 d b))
(/ c a)
(/.f64 c a)
(* c (+ (* -1 (/ (* b d) (* (pow a 2) c))) (/ 1 a)))
(*.f64 c (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 b d) (*.f64 a (*.f64 a c)))))
(* c (- (+ (/ 1 a) (/ (pow d 2) (* a (pow c 2)))) (+ (* -1 (/ (* (pow b 2) (pow d 2)) (* (pow a 3) (pow c 2)))) (/ (* b d) (* (pow a 2) c)))))
(*.f64 c (-.f64 (fma.f64 d (/.f64 d (*.f64 a (*.f64 c c))) (/.f64 #s(literal 1 binary64) a)) (-.f64 (/.f64 (*.f64 b d) (*.f64 a (*.f64 a c))) (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (*.f64 (*.f64 c c) (*.f64 a (*.f64 a a)))))))
(* c (- (+ (* -1 (/ (* b (* d (- (/ (pow d 2) a) (* -1 (/ (* (pow b 2) (pow d 2)) (pow a 3)))))) (* a (pow c 3)))) (+ (/ 1 a) (/ (pow d 2) (* a (pow c 2))))) (+ (* -1 (/ (* (pow b 2) (pow d 2)) (* (pow a 3) (pow c 2)))) (/ (* b d) (* (pow a 2) c)))))
(*.f64 c (-.f64 (fma.f64 (neg.f64 b) (*.f64 (fma.f64 d (/.f64 d a) (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (*.f64 a (*.f64 a a)))) (/.f64 d (*.f64 a (*.f64 c (*.f64 c c))))) (fma.f64 d (/.f64 d (*.f64 a (*.f64 c c))) (/.f64 #s(literal 1 binary64) a))) (-.f64 (/.f64 (*.f64 b d) (*.f64 a (*.f64 a c))) (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (*.f64 (*.f64 c c) (*.f64 a (*.f64 a a)))))))
(/ c a)
(/.f64 c a)
(* -1 (* c (- (/ (* b d) (* (pow a 2) c)) (/ 1 a))))
(*.f64 (fma.f64 b (/.f64 d (*.f64 a (*.f64 a c))) (/.f64 #s(literal -1 binary64) a)) (neg.f64 c))
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow d 2) a)) (/ (* (pow b 2) (pow d 2)) (pow a 3))) c)) (/ (* b d) (pow a 2))) c)) (/ 1 a))))
(*.f64 (neg.f64 (+.f64 (-.f64 (/.f64 (neg.f64 (neg.f64 (fma.f64 d (/.f64 d a) (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (*.f64 a (*.f64 a a)))))) (*.f64 c c)) (/.f64 (*.f64 b d) (*.f64 a (*.f64 a c)))) (/.f64 #s(literal 1 binary64) a))) (neg.f64 c))
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* b (* d (- (* -1 (/ (pow d 2) a)) (/ (* (pow b 2) (pow d 2)) (pow a 3))))) (* a c))) (* -1 (/ (pow d 2) a))) (/ (* (pow b 2) (pow d 2)) (pow a 3))) c)) (/ (* b d) (pow a 2))) c)) (/ 1 a))))
(*.f64 (neg.f64 (+.f64 (-.f64 (/.f64 (neg.f64 (fma.f64 (neg.f64 b) (*.f64 d (/.f64 (neg.f64 (fma.f64 d (/.f64 d a) (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (*.f64 a (*.f64 a a))))) (*.f64 a c))) (neg.f64 (fma.f64 d (/.f64 d a) (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (*.f64 a (*.f64 a a))))))) (*.f64 c c)) (/.f64 (*.f64 b d) (*.f64 a (*.f64 a c)))) (/.f64 #s(literal 1 binary64) a))) (neg.f64 c))
(/ c a)
(/.f64 c a)
(+ (* -1 (/ (* b d) (pow a 2))) (/ c a))
(-.f64 (/.f64 c a) (*.f64 b (/.f64 d (*.f64 a a))))
(+ (* d (- (* d (- (/ 1 (* a c)) (* -1 (/ (pow b 2) (* (pow a 3) c))))) (/ b (pow a 2)))) (/ c a))
(fma.f64 d (fma.f64 d (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)) (/.f64 (*.f64 b b) (*.f64 a (*.f64 a (*.f64 a c))))) (/.f64 b (*.f64 (neg.f64 a) a))) (/.f64 c a))
(+ (* d (- (* d (- (+ (* -1 (/ (* b (* d (- (/ 1 (* a c)) (* -1 (/ (pow b 2) (* (pow a 3) c)))))) (* a c))) (/ 1 (* a c))) (* -1 (/ (pow b 2) (* (pow a 3) c))))) (/ b (pow a 2)))) (/ c a))
(fma.f64 d (fma.f64 d (fma.f64 (neg.f64 b) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)) (/.f64 (*.f64 b b) (*.f64 a (*.f64 a (*.f64 a c))))) (/.f64 d (*.f64 a c))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)) (/.f64 (*.f64 b b) (*.f64 a (*.f64 a (*.f64 a c)))))) (/.f64 b (*.f64 (neg.f64 a) a))) (/.f64 c a))
(/ d b)
(/.f64 d b)
(* d (+ (* -1 (/ (* a c) (* (pow b 2) d))) (/ 1 b)))
(*.f64 d (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (*.f64 a c) (*.f64 b (*.f64 b d)))))
(* d (- (+ (/ 1 b) (/ (pow c 2) (* b (pow d 2)))) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (* (pow b 3) (pow d 2)))) (/ (* a c) (* (pow b 2) d)))))
(*.f64 d (-.f64 (fma.f64 c (/.f64 c (*.f64 b (*.f64 d d))) (/.f64 #s(literal 1 binary64) b)) (-.f64 (/.f64 (*.f64 a c) (*.f64 b (*.f64 b d))) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 d (*.f64 b (*.f64 b (*.f64 b d))))))))
(* d (- (+ (* -1 (/ (* a (* c (- (/ (pow c 2) b) (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 3)))))) (* b (pow d 3)))) (+ (/ 1 b) (/ (pow c 2) (* b (pow d 2))))) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (* (pow b 3) (pow d 2)))) (/ (* a c) (* (pow b 2) d)))))
(*.f64 d (-.f64 (-.f64 (fma.f64 c (/.f64 c (*.f64 b (*.f64 d d))) (/.f64 #s(literal 1 binary64) b)) (*.f64 (*.f64 a c) (/.f64 (fma.f64 c (/.f64 c b) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b (*.f64 b b)))) (*.f64 b (*.f64 d (*.f64 d d)))))) (-.f64 (/.f64 (*.f64 a c) (*.f64 b (*.f64 b d))) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 d (*.f64 b (*.f64 b (*.f64 b d))))))))
(/ d b)
(/.f64 d b)
(* -1 (* d (- (/ (* a c) (* (pow b 2) d)) (/ 1 b))))
(*.f64 (fma.f64 a (/.f64 c (*.f64 b (*.f64 b d))) (/.f64 #s(literal -1 binary64) b)) (neg.f64 d))
(* -1 (* d (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow c 2) b)) (/ (* (pow a 2) (pow c 2)) (pow b 3))) d)) (/ (* a c) (pow b 2))) d)) (/ 1 b))))
(*.f64 (neg.f64 (+.f64 (-.f64 (/.f64 (neg.f64 (neg.f64 (fma.f64 c (/.f64 c b) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b (*.f64 b b)))))) (*.f64 d d)) (/.f64 (*.f64 a c) (*.f64 b (*.f64 b d)))) (/.f64 #s(literal 1 binary64) b))) (neg.f64 d))
(* -1 (* d (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* a (* c (- (* -1 (/ (pow c 2) b)) (/ (* (pow a 2) (pow c 2)) (pow b 3))))) (* b d))) (* -1 (/ (pow c 2) b))) (/ (* (pow a 2) (pow c 2)) (pow b 3))) d)) (/ (* a c) (pow b 2))) d)) (/ 1 b))))
(*.f64 (+.f64 (neg.f64 (-.f64 (/.f64 (neg.f64 (fma.f64 (neg.f64 a) (*.f64 (neg.f64 (fma.f64 c (/.f64 c b) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b (*.f64 b b))))) (/.f64 c (*.f64 b d))) (neg.f64 (fma.f64 c (/.f64 c b) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b (*.f64 b b))))))) (*.f64 d d)) (/.f64 (*.f64 a c) (*.f64 b (*.f64 b d))))) (/.f64 #s(literal -1 binary64) b)) (neg.f64 d))
(/ (+ (pow c 2) (pow d 2)) (* b d))
(/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 b d))
(+ (* -1 (/ (* a (* c (+ (pow c 2) (pow d 2)))) (* (pow b 2) (pow d 2)))) (+ (/ d b) (/ (pow c 2) (* b d))))
(fma.f64 (neg.f64 a) (/.f64 (*.f64 c (fma.f64 d d (*.f64 c c))) (*.f64 b (*.f64 b (*.f64 d d)))) (fma.f64 c (/.f64 c (*.f64 b d)) (/.f64 d b)))
(+ (* a (- (/ (* a (* (pow c 2) (+ (pow c 2) (pow d 2)))) (* (pow b 3) (pow d 3))) (/ (* c (+ (pow c 2) (pow d 2))) (* (pow b 2) (pow d 2))))) (+ (/ d b) (/ (pow c 2) (* b d))))
(fma.f64 a (-.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 a (fma.f64 d d (*.f64 c c)))) (*.f64 (*.f64 d d) (*.f64 b (*.f64 b (*.f64 b d))))) (/.f64 (*.f64 c (fma.f64 d d (*.f64 c c))) (*.f64 b (*.f64 b (*.f64 d d))))) (fma.f64 c (/.f64 c (*.f64 b d)) (/.f64 d b)))
(+ (* a (- (* a (- (* -1 (/ (* a (* (pow c 3) (+ (pow c 2) (pow d 2)))) (* (pow b 4) (pow d 4)))) (* -1 (/ (* (pow c 2) (+ (pow c 2) (pow d 2))) (* (pow b 3) (pow d 3)))))) (/ (* c (+ (pow c 2) (pow d 2))) (* (pow b 2) (pow d 2))))) (+ (/ d b) (/ (pow c 2) (* b d))))
(fma.f64 a (fma.f64 a (fma.f64 (neg.f64 a) (/.f64 (*.f64 (*.f64 c c) (*.f64 c (fma.f64 d d (*.f64 c c)))) (*.f64 (*.f64 d (*.f64 d (*.f64 d d))) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (*.f64 c (*.f64 c (fma.f64 d d (*.f64 c c)))) (*.f64 (*.f64 d d) (*.f64 b (*.f64 b (*.f64 b d)))))) (/.f64 (*.f64 c (fma.f64 d d (*.f64 c c))) (*.f64 (*.f64 (neg.f64 b) b) (*.f64 d d)))) (fma.f64 c (/.f64 c (*.f64 b d)) (/.f64 d b)))
(/ (+ (pow c 2) (pow d 2)) (* a c))
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(*.f64 (*.f64 c c) (+.f64 (-.f64 (/.f64 a (*.f64 d (*.f64 d c))) (/.f64 b (*.f64 d (*.f64 d d)))) (/.f64 b (*.f64 d (*.f64 c c)))))
(* (pow c 2) (+ (* -1 (/ b (pow d 3))) (+ (/ a (* c (pow d 2))) (/ b (* (pow c 2) d)))))
(*.f64 (*.f64 c c) (+.f64 (-.f64 (/.f64 a (*.f64 d (*.f64 d c))) (/.f64 b (*.f64 d (*.f64 d d)))) (/.f64 b (*.f64 d (*.f64 c c)))))
(* -1 (/ (* b (pow c 2)) (pow d 3)))
(neg.f64 (*.f64 (/.f64 (*.f64 b c) (*.f64 d (*.f64 d d))) c))
(* (pow c 2) (+ (* -1 (/ b (pow d 3))) (/ a (* c (pow d 2)))))
(*.f64 (*.f64 c c) (-.f64 (/.f64 a (*.f64 d (*.f64 d c))) (/.f64 b (*.f64 d (*.f64 d d)))))
(* (pow c 2) (+ (* -1 (/ b (pow d 3))) (* -1 (/ (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d)))) c))))
(*.f64 (*.f64 c c) (-.f64 (/.f64 (neg.f64 b) (*.f64 d (*.f64 d d))) (/.f64 (-.f64 (neg.f64 (/.f64 a (*.f64 d d))) (/.f64 b (*.f64 d c))) c)))
(* (pow c 2) (+ (* -1 (/ b (pow d 3))) (* -1 (/ (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d)))) c))))
(*.f64 (*.f64 c c) (-.f64 (/.f64 (neg.f64 b) (*.f64 d (*.f64 d d))) (/.f64 (-.f64 (neg.f64 (/.f64 a (*.f64 d d))) (/.f64 b (*.f64 d c))) c)))
(/ (* a c) (pow d 2))
(/.f64 (*.f64 a c) (*.f64 d d))
(+ (* b (+ (* -1 (/ (pow c 2) (pow d 3))) (/ 1 d))) (/ (* a c) (pow d 2)))
(fma.f64 c (-.f64 (/.f64 a (*.f64 d d)) (/.f64 (*.f64 b c) (*.f64 d (*.f64 d d)))) (*.f64 b (/.f64 #s(literal 1 binary64) d)))
(+ (* b (+ (* -1 (/ (pow c 2) (pow d 3))) (/ 1 d))) (/ (* a c) (pow d 2)))
(fma.f64 c (-.f64 (/.f64 a (*.f64 d d)) (/.f64 (*.f64 b c) (*.f64 d (*.f64 d d)))) (*.f64 b (/.f64 #s(literal 1 binary64) d)))
(+ (* b (+ (* -1 (/ (pow c 2) (pow d 3))) (/ 1 d))) (/ (* a c) (pow d 2)))
(fma.f64 c (-.f64 (/.f64 a (*.f64 d d)) (/.f64 (*.f64 b c) (*.f64 d (*.f64 d d)))) (*.f64 b (/.f64 #s(literal 1 binary64) d)))
(* b (+ (* -1 (/ (pow c 2) (pow d 3))) (/ 1 d)))
(*.f64 b (-.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 (*.f64 c c) (*.f64 d (*.f64 d d)))))
(* b (+ (* -1 (/ (pow c 2) (pow d 3))) (+ (/ 1 d) (/ (* a c) (* b (pow d 2))))))
(*.f64 b (-.f64 (fma.f64 a (/.f64 c (*.f64 b (*.f64 d d))) (/.f64 #s(literal 1 binary64) d)) (/.f64 (*.f64 c c) (*.f64 d (*.f64 d d)))))
(* b (+ (* -1 (/ (pow c 2) (pow d 3))) (+ (/ 1 d) (/ (* a c) (* b (pow d 2))))))
(*.f64 b (-.f64 (fma.f64 a (/.f64 c (*.f64 b (*.f64 d d))) (/.f64 #s(literal 1 binary64) d)) (/.f64 (*.f64 c c) (*.f64 d (*.f64 d d)))))
(* b (+ (* -1 (/ (pow c 2) (pow d 3))) (+ (/ 1 d) (/ (* a c) (* b (pow d 2))))))
(*.f64 b (-.f64 (fma.f64 a (/.f64 c (*.f64 b (*.f64 d d))) (/.f64 #s(literal 1 binary64) d)) (/.f64 (*.f64 c c) (*.f64 d (*.f64 d d)))))
(* -1 (* b (- (/ (pow c 2) (pow d 3)) (/ 1 d))))
(*.f64 (neg.f64 b) (fma.f64 c (/.f64 c (*.f64 d (*.f64 d d))) (/.f64 #s(literal -1 binary64) d)))
(* -1 (* b (- (+ (* -1 (/ (* a c) (* b (pow d 2)))) (/ (pow c 2) (pow d 3))) (/ 1 d))))
(*.f64 (neg.f64 b) (fma.f64 c (/.f64 c (*.f64 d (*.f64 d d))) (fma.f64 (neg.f64 a) (/.f64 c (*.f64 b (*.f64 d d))) (/.f64 #s(literal -1 binary64) d))))
(* -1 (* b (- (+ (* -1 (/ (* a c) (* b (pow d 2)))) (/ (pow c 2) (pow d 3))) (/ 1 d))))
(*.f64 (neg.f64 b) (fma.f64 c (/.f64 c (*.f64 d (*.f64 d d))) (fma.f64 (neg.f64 a) (/.f64 c (*.f64 b (*.f64 d d))) (/.f64 #s(literal -1 binary64) d))))
(* -1 (* b (- (+ (* -1 (/ (* a c) (* b (pow d 2)))) (/ (pow c 2) (pow d 3))) (/ 1 d))))
(*.f64 (neg.f64 b) (fma.f64 c (/.f64 c (*.f64 d (*.f64 d d))) (fma.f64 (neg.f64 a) (/.f64 c (*.f64 b (*.f64 d d))) (/.f64 #s(literal -1 binary64) d))))
(* -1 (/ (* b (pow c 2)) (pow d 3)))
(neg.f64 (*.f64 (/.f64 (*.f64 b c) (*.f64 d (*.f64 d d))) c))
(/ (+ (* -1 (* b (pow c 2))) (* a (* c d))) (pow d 3))
(/.f64 (-.f64 (*.f64 d (*.f64 a c)) (*.f64 b (*.f64 c c))) (*.f64 d (*.f64 d d)))
(/ (+ (* -1 (* b (pow c 2))) (* d (+ (* a c) (* b d)))) (pow d 3))
(/.f64 (fma.f64 b (*.f64 (neg.f64 c) c) (*.f64 d (fma.f64 b d (*.f64 a c)))) (*.f64 d (*.f64 d d)))
(/ (+ (* -1 (* b (pow c 2))) (* d (+ (* a c) (* b d)))) (pow d 3))
(/.f64 (fma.f64 b (*.f64 (neg.f64 c) c) (*.f64 d (fma.f64 b d (*.f64 a c)))) (*.f64 d (*.f64 d d)))
(/ b d)
(/.f64 b d)
(/ (+ b (/ (* a c) d)) d)
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/.f64 (fma.f64 (neg.f64 b) (/.f64 (*.f64 c c) (*.f64 d d)) (fma.f64 a (/.f64 c d) b)) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/.f64 (fma.f64 (neg.f64 b) (/.f64 (*.f64 c c) (*.f64 d d)) (fma.f64 a (/.f64 c d) b)) d)
(/ b d)
(/.f64 b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/.f64 (neg.f64 (fma.f64 a (/.f64 c d) b)) (neg.f64 d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(/.f64 (-.f64 (neg.f64 b) (/.f64 (-.f64 (*.f64 a c) (/.f64 (*.f64 b (*.f64 c c)) d)) d)) (neg.f64 d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(/.f64 (-.f64 (neg.f64 b) (/.f64 (-.f64 (*.f64 a c) (/.f64 (*.f64 b (*.f64 c c)) d)) d)) (neg.f64 d))
(+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d))
(-.f64 (/.f64 b d) (/.f64 (*.f64 b (*.f64 c c)) (*.f64 d (*.f64 d d))))
(+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (+ (/ b d) (/ (* a c) (pow d 2))))
(fma.f64 c (-.f64 (/.f64 a (*.f64 d d)) (/.f64 (*.f64 b c) (*.f64 d (*.f64 d d)))) (/.f64 b d))
(+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (+ (/ b d) (/ (* a c) (pow d 2))))
(fma.f64 c (-.f64 (/.f64 a (*.f64 d d)) (/.f64 (*.f64 b c) (*.f64 d (*.f64 d d)))) (/.f64 b d))
(+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (+ (/ b d) (/ (* a c) (pow d 2))))
(fma.f64 c (-.f64 (/.f64 a (*.f64 d d)) (/.f64 (*.f64 b c) (*.f64 d (*.f64 d d)))) (/.f64 b d))
(/ (* a c) (pow d 2))
(/.f64 (*.f64 a c) (*.f64 d d))
(* a (+ (* -1 (/ (* b (pow c 2)) (* a (pow d 3)))) (+ (/ b (* a d)) (/ c (pow d 2)))))
(*.f64 a (+.f64 (fma.f64 (neg.f64 b) (/.f64 (*.f64 c c) (*.f64 d (*.f64 d (*.f64 d a)))) (/.f64 b (*.f64 d a))) (/.f64 c (*.f64 d d))))
(* a (+ (* -1 (/ (* b (pow c 2)) (* a (pow d 3)))) (+ (/ b (* a d)) (/ c (pow d 2)))))
(*.f64 a (+.f64 (fma.f64 (neg.f64 b) (/.f64 (*.f64 c c) (*.f64 d (*.f64 d (*.f64 d a)))) (/.f64 b (*.f64 d a))) (/.f64 c (*.f64 d d))))
(* a (+ (* -1 (/ (* b (pow c 2)) (* a (pow d 3)))) (+ (/ b (* a d)) (/ c (pow d 2)))))
(*.f64 a (+.f64 (fma.f64 (neg.f64 b) (/.f64 (*.f64 c c) (*.f64 d (*.f64 d (*.f64 d a)))) (/.f64 b (*.f64 d a))) (/.f64 c (*.f64 d d))))
(/ (* a c) (pow d 2))
(/.f64 (*.f64 a c) (*.f64 d d))
(* -1 (* a (+ (* -1 (/ c (pow d 2))) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d)) a)))))
(neg.f64 (*.f64 a (-.f64 (/.f64 c (*.f64 (neg.f64 d) d)) (/.f64 (-.f64 (/.f64 b d) (/.f64 (*.f64 b (*.f64 c c)) (*.f64 d (*.f64 d d)))) a))))
(* -1 (* a (+ (* -1 (/ c (pow d 2))) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d)) a)))))
(neg.f64 (*.f64 a (-.f64 (/.f64 c (*.f64 (neg.f64 d) d)) (/.f64 (-.f64 (/.f64 b d) (/.f64 (*.f64 b (*.f64 c c)) (*.f64 d (*.f64 d d)))) a))))
(* -1 (* a (+ (* -1 (/ c (pow d 2))) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d)) a)))))
(neg.f64 (*.f64 a (-.f64 (/.f64 c (*.f64 (neg.f64 d) d)) (/.f64 (-.f64 (/.f64 b d) (/.f64 (*.f64 b (*.f64 c c)) (*.f64 d (*.f64 d d)))) a))))
(* -1 c)
(neg.f64 c)
(* -1 c)
(neg.f64 c)
(* -1 c)
(neg.f64 c)
(* -1 c)
(neg.f64 c)
(* -1 c)
(neg.f64 c)
(* -1 c)
(neg.f64 c)
(* -1 c)
(neg.f64 c)
(* -1 c)
(neg.f64 c)
(* -1 c)
(neg.f64 c)
(* -1 c)
(neg.f64 c)
(* -1 c)
(neg.f64 c)
(* -1 c)
(neg.f64 c)
(/ b (pow d 3))
(/.f64 b (*.f64 d (*.f64 d d)))
(/ b (pow d 3))
(/.f64 b (*.f64 d (*.f64 d d)))
(/ b (pow d 3))
(/.f64 b (*.f64 d (*.f64 d d)))
(/ b (pow d 3))
(/.f64 b (*.f64 d (*.f64 d d)))
(/ b (pow d 3))
(/.f64 b (*.f64 d (*.f64 d d)))
(/ b (pow d 3))
(/.f64 b (*.f64 d (*.f64 d d)))
(/ b (pow d 3))
(/.f64 b (*.f64 d (*.f64 d d)))
(/ b (pow d 3))
(/.f64 b (*.f64 d (*.f64 d d)))
(/ b (pow d 3))
(/.f64 b (*.f64 d (*.f64 d d)))
(/ b (pow d 3))
(/.f64 b (*.f64 d (*.f64 d d)))
(/ b (pow d 3))
(/.f64 b (*.f64 d (*.f64 d d)))
(/ b (pow d 3))
(/.f64 b (*.f64 d (*.f64 d d)))
(/ b (pow d 3))
(/.f64 b (*.f64 d (*.f64 d d)))
(/ b (pow d 3))
(/.f64 b (*.f64 d (*.f64 d d)))
(/ b (pow d 3))
(/.f64 b (*.f64 d (*.f64 d d)))
(/ b (pow d 3))
(/.f64 b (*.f64 d (*.f64 d d)))
(/ b (pow d 3))
(/.f64 b (*.f64 d (*.f64 d d)))
(/ b (pow d 3))
(/.f64 b (*.f64 d (*.f64 d d)))
(/ b (pow d 3))
(/.f64 b (*.f64 d (*.f64 d d)))
(/ b (pow d 3))
(/.f64 b (*.f64 d (*.f64 d d)))
(/ b (pow d 3))
(/.f64 b (*.f64 d (*.f64 d d)))
(/ b (pow d 3))
(/.f64 b (*.f64 d (*.f64 d d)))
(/ b (pow d 3))
(/.f64 b (*.f64 d (*.f64 d d)))
(/ b (pow d 3))
(/.f64 b (*.f64 d (*.f64 d d)))
(* b d)
(*.f64 b d)
(+ (* a c) (* b d))
(fma.f64 b d (*.f64 a c))
(+ (* a c) (* b d))
(fma.f64 b d (*.f64 a c))
(+ (* a c) (* b d))
(fma.f64 b d (*.f64 a c))
(* a c)
(*.f64 a c)
(* a (+ c (/ (* b d) a)))
(*.f64 a (fma.f64 b (/.f64 d a) c))
(* a (+ c (/ (* b d) a)))
(*.f64 a (fma.f64 b (/.f64 d a) c))
(* a (+ c (/ (* b d) a)))
(*.f64 a (fma.f64 b (/.f64 d a) c))
(* a c)
(*.f64 a c)
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(neg.f64 (*.f64 (neg.f64 a) (fma.f64 b (/.f64 d a) c)))
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(neg.f64 (*.f64 (neg.f64 a) (fma.f64 b (/.f64 d a) c)))
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(neg.f64 (*.f64 (neg.f64 a) (fma.f64 b (/.f64 d a) c)))
(* b d)
(*.f64 b d)
(+ (* a c) (* b d))
(fma.f64 b d (*.f64 a c))
(+ (* a c) (* b d))
(fma.f64 b d (*.f64 a c))
(+ (* a c) (* b d))
(fma.f64 b d (*.f64 a c))
(* a c)
(*.f64 a c)
(* c (+ a (/ (* b d) c)))
(*.f64 c (fma.f64 b (/.f64 d c) a))
(* c (+ a (/ (* b d) c)))
(*.f64 c (fma.f64 b (/.f64 d c) a))
(* c (+ a (/ (* b d) c)))
(*.f64 c (fma.f64 b (/.f64 d c) a))
(* a c)
(*.f64 a c)
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(*.f64 (neg.f64 (fma.f64 b (/.f64 d c) a)) (neg.f64 c))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(*.f64 (neg.f64 (fma.f64 b (/.f64 d c) a)) (neg.f64 c))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(*.f64 (neg.f64 (fma.f64 b (/.f64 d c) a)) (neg.f64 c))
(* a c)
(*.f64 a c)
(+ (* a c) (* b d))
(fma.f64 b d (*.f64 a c))
(+ (* a c) (* b d))
(fma.f64 b d (*.f64 a c))
(+ (* a c) (* b d))
(fma.f64 b d (*.f64 a c))
(* b d)
(*.f64 b d)
(* b (+ d (/ (* a c) b)))
(*.f64 b (fma.f64 a (/.f64 c b) d))
(* b (+ d (/ (* a c) b)))
(*.f64 b (fma.f64 a (/.f64 c b) d))
(* b (+ d (/ (* a c) b)))
(*.f64 b (fma.f64 a (/.f64 c b) d))
(* b d)
(*.f64 b d)
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(neg.f64 (*.f64 b (neg.f64 (fma.f64 a (/.f64 c b) d))))
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(neg.f64 (*.f64 b (neg.f64 (fma.f64 a (/.f64 c b) d))))
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(neg.f64 (*.f64 b (neg.f64 (fma.f64 a (/.f64 c b) d))))
(* a c)
(*.f64 a c)
(+ (* a c) (* b d))
(fma.f64 b d (*.f64 a c))
(+ (* a c) (* b d))
(fma.f64 b d (*.f64 a c))
(+ (* a c) (* b d))
(fma.f64 b d (*.f64 a c))
(* b d)
(*.f64 b d)
(* d (+ b (/ (* a c) d)))
(*.f64 d (fma.f64 a (/.f64 c d) b))
(* d (+ b (/ (* a c) d)))
(*.f64 d (fma.f64 a (/.f64 c d) b))
(* d (+ b (/ (* a c) d)))
(*.f64 d (fma.f64 a (/.f64 c d) b))
(* b d)
(*.f64 b d)
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(*.f64 d (neg.f64 (neg.f64 (fma.f64 a (/.f64 c d) b))))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(*.f64 d (neg.f64 (neg.f64 (fma.f64 a (/.f64 c d) b))))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(*.f64 d (neg.f64 (neg.f64 (fma.f64 a (/.f64 c d) b))))
(/ a (pow d 2))
(/.f64 a (*.f64 d d))
(/ a (pow d 2))
(/.f64 a (*.f64 d d))
(/ a (pow d 2))
(/.f64 a (*.f64 d d))
(/ a (pow d 2))
(/.f64 a (*.f64 d d))
(/ a (pow d 2))
(/.f64 a (*.f64 d d))
(/ a (pow d 2))
(/.f64 a (*.f64 d d))
(/ a (pow d 2))
(/.f64 a (*.f64 d d))
(/ a (pow d 2))
(/.f64 a (*.f64 d d))
(/ a (pow d 2))
(/.f64 a (*.f64 d d))
(/ a (pow d 2))
(/.f64 a (*.f64 d d))
(/ a (pow d 2))
(/.f64 a (*.f64 d d))
(/ a (pow d 2))
(/.f64 a (*.f64 d d))
(/ a (pow d 2))
(/.f64 a (*.f64 d d))
(/ a (pow d 2))
(/.f64 a (*.f64 d d))
(/ a (pow d 2))
(/.f64 a (*.f64 d d))
(/ a (pow d 2))
(/.f64 a (*.f64 d d))
(/ a (pow d 2))
(/.f64 a (*.f64 d d))
(/ a (pow d 2))
(/.f64 a (*.f64 d d))
(/ a (pow d 2))
(/.f64 a (*.f64 d d))
(/ a (pow d 2))
(/.f64 a (*.f64 d d))
(/ a (pow d 2))
(/.f64 a (*.f64 d d))
(/ a (pow d 2))
(/.f64 a (*.f64 d d))
(/ a (pow d 2))
(/.f64 a (*.f64 d d))
(/ a (pow d 2))
(/.f64 a (*.f64 d d))

eval172.0ms (1.6%)

Memory
0.6MiB live, 312.6MiB allocated
Compiler

Compiled 35 663 to 2 812 computations (92.1% saved)

prune193.0ms (1.8%)

Memory
12.6MiB live, 209.4MiB allocated
Pruning

24 alts after pruning (22 fresh and 2 done)

PrunedKeptTotal
New1 403171 420
Fresh358
Picked325
Done000
Total1 409241 433
Accuracy
99.2%
Counts
1 433 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
56.0%
(fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c))
55.6%
(fma.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 (*.f64 d b) c) (/.f64 a c))
41.5%
(fma.f64 c (fma.f64 (/.f64 (/.f64 b d) d) (/.f64 (neg.f64 c) d) (/.f64 a (*.f64 d d))) (/.f64 b d))
42.0%
(fma.f64 c (fma.f64 (neg.f64 c) (/.f64 b (*.f64 d (*.f64 d d))) (/.f64 (/.f64 a d) d)) (/.f64 b d))
44.7%
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
49.6%
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
64.7%
(fma.f64 a (/.f64 c (fma.f64 d d (*.f64 c c))) (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
56.7%
(/.f64 (fma.f64 b (/.f64 d c) a) c)
35.5%
(/.f64 (fma.f64 b d (*.f64 a c)) (*.f64 c c))
49.0%
(/.f64 (fma.f64 a (/.f64 c d) b) d)
53.6%
(/.f64 (+.f64 a (/.f64 (fma.f64 d (/.f64 (*.f64 d (neg.f64 a)) c) (*.f64 b d)) c)) c)
28.1%
(/.f64 (*.f64 b d) (*.f64 d d))
19.1%
(/.f64 (*.f64 b d) (*.f64 c c))
40.2%
(/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))
18.1%
(/.f64 (*.f64 a c) (*.f64 d d))
39.3%
(/.f64 b d)
44.0%
(/.f64 a c)
40.2%
(/.f64 #s(literal 1 binary64) (fma.f64 c (fma.f64 c (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b d)) (/.f64 (*.f64 a a) (*.f64 b (*.f64 b (*.f64 b d))))) (/.f64 a (*.f64 (neg.f64 b) b))) (/.f64 d b)))
40.2%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 a c)))
39.1%
(/.f64 #s(literal 1 binary64) (/.f64 d b))
41.2%
(*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b)
43.9%
(*.f64 (/.f64 #s(literal 1 binary64) c) (pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64)))
43.9%
(*.f64 (/.f64 #s(literal 1 binary64) c) a)
13.5%
(*.f64 (*.f64 c c) (-.f64 (/.f64 a (*.f64 d (*.f64 d c))) (/.f64 b (*.f64 d (*.f64 d d)))))
Compiler

Compiled 719 to 419 computations (41.7% saved)

simplify413.0ms (3.9%)

Memory
-37.4MiB live, 328.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (fma.f64 d (/.f64 (*.f64 d (neg.f64 a)) c) (*.f64 b d)) c)
cost-diff0
(/.f64 (+.f64 a (/.f64 (fma.f64 d (/.f64 (*.f64 d (neg.f64 a)) c) (*.f64 b d)) c)) c)
cost-diff128
(+.f64 a (/.f64 (fma.f64 d (/.f64 (*.f64 d (neg.f64 a)) c) (*.f64 b d)) c))
cost-diff320
(fma.f64 d (/.f64 (*.f64 d (neg.f64 a)) c) (*.f64 b d))
cost-diff0
(/.f64 d c)
cost-diff0
(fma.f64 b (/.f64 d c) a)
cost-diff0
(/.f64 (fma.f64 b (/.f64 d c) a) c)
cost-diff0
(/.f64 d b)
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 d b))
cost-diff0
(/.f64 b d)
cost-diff0
(*.f64 c c)
cost-diff0
(fma.f64 d d (*.f64 c c))
cost-diff0
(/.f64 c (fma.f64 d d (*.f64 c c)))
cost-diff0
(fma.f64 a (/.f64 c (fma.f64 d d (*.f64 c c))) (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
Rules
5 956×accelerator-lowering-fma.f32
5 956×accelerator-lowering-fma.f64
2 660×*-lowering-*.f32
2 660×*-lowering-*.f64
1 358×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029182
157174
296170
3179170
4322170
5467170
6867170
71600170
82745170
93686170
104524170
114991170
125257170
135337170
145355170
155363170
165478170
175608170
185642170
195642170
206688170
217194170
227402170
237508170
247664170
08010159
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(+ (* a (/ c (+ (* d d) (* c c)))) (* b (/ d (+ (* d d) (* c c)))))
a
(/ c (+ (* d d) (* c c)))
c
(+ (* d d) (* c c))
d
(* c c)
(* b (/ d (+ (* d d) (* c c))))
b
(/ d (+ (* d d) (* c c)))
(/ b d)
b
d
(/ 1 (/ d b))
1
(/ d b)
d
b
(/ (+ (* b (/ d c)) a) c)
(+ (* b (/ d c)) a)
b
(/ d c)
d
c
a
(/ (+ a (/ (+ (* d (/ (* d (neg a)) c)) (* b d)) c)) c)
(+ a (/ (+ (* d (/ (* d (neg a)) c)) (* b d)) c))
a
(/ (+ (* d (/ (* d (neg a)) c)) (* b d)) c)
(+ (* d (/ (* d (neg a)) c)) (* b d))
d
(/ (* d (neg a)) c)
(* d (neg a))
(neg a)
c
(* b d)
b
Outputs
(+ (* a (/ c (+ (* d d) (* c c)))) (* b (/ d (+ (* d d) (* c c)))))
(fma.f64 a (/.f64 c (fma.f64 c c (*.f64 d d))) (*.f64 d (/.f64 b (fma.f64 c c (*.f64 d d)))))
a
(/ c (+ (* d d) (* c c)))
(/.f64 c (fma.f64 c c (*.f64 d d)))
c
(+ (* d d) (* c c))
(fma.f64 c c (*.f64 d d))
d
(* c c)
(*.f64 c c)
(* b (/ d (+ (* d d) (* c c))))
(*.f64 d (/.f64 b (fma.f64 c c (*.f64 d d))))
b
(/ d (+ (* d d) (* c c)))
(/.f64 d (fma.f64 c c (*.f64 d d)))
(/ b d)
(/.f64 b d)
b
d
(/ 1 (/ d b))
(/.f64 b d)
1
#s(literal 1 binary64)
(/ d b)
(/.f64 d b)
d
b
(/ (+ (* b (/ d c)) a) c)
(/.f64 (fma.f64 d (/.f64 b c) a) c)
(+ (* b (/ d c)) a)
(fma.f64 d (/.f64 b c) a)
b
(/ d c)
(/.f64 d c)
d
c
a
(/ (+ a (/ (+ (* d (/ (* d (neg a)) c)) (* b d)) c)) c)
(/.f64 (fma.f64 (/.f64 d c) (fma.f64 (/.f64 d c) (neg.f64 a) b) a) c)
(+ a (/ (+ (* d (/ (* d (neg a)) c)) (* b d)) c))
(fma.f64 (/.f64 d c) (fma.f64 (/.f64 d c) (neg.f64 a) b) a)
a
(/ (+ (* d (/ (* d (neg a)) c)) (* b d)) c)
(*.f64 d (/.f64 (fma.f64 (/.f64 d c) (neg.f64 a) b) c))
(+ (* d (/ (* d (neg a)) c)) (* b d))
(*.f64 d (fma.f64 (/.f64 d c) (neg.f64 a) b))
d
(/ (* d (neg a)) c)
(/.f64 (*.f64 a (neg.f64 d)) c)
(* d (neg a))
(*.f64 a (neg.f64 d))
(neg a)
(neg.f64 a)
c
(* b d)
(*.f64 d b)
b

localize83.0ms (0.8%)

Memory
15.3MiB live, 173.2MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy97.8%
(fma.f64 d (/.f64 (*.f64 d (neg.f64 a)) c) (*.f64 b d))
accuracy97.7%
(/.f64 (+.f64 a (/.f64 (fma.f64 d (/.f64 (*.f64 d (neg.f64 a)) c) (*.f64 b d)) c)) c)
accuracy92.0%
(/.f64 (fma.f64 d (/.f64 (*.f64 d (neg.f64 a)) c) (*.f64 b d)) c)
accuracy89.9%
(/.f64 (*.f64 d (neg.f64 a)) c)
accuracy100.0%
(/.f64 d c)
accuracy98.8%
(/.f64 (fma.f64 b (/.f64 d c) a) c)
accuracy94.7%
(fma.f64 b (/.f64 d c) a)
accuracy100.0%
(/.f64 d b)
accuracy99.5%
(/.f64 #s(literal 1 binary64) (/.f64 d b))
accuracy100.0%
(/.f64 b d)
accuracy97.6%
(fma.f64 a (/.f64 c (fma.f64 d d (*.f64 c c))) (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
accuracy96.0%
(*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))))
accuracy74.6%
(/.f64 d (fma.f64 d d (*.f64 c c)))
accuracy68.8%
(/.f64 c (fma.f64 d d (*.f64 c c)))
Samples
55.0ms256×0valid
Compiler

Compiled 173 to 31 computations (82.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-div: 20.0ms (52.9% of total)
ival-mult: 12.0ms (31.7% of total)
ival-add: 5.0ms (13.2% of total)
ival-neg: 1.0ms (2.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series86.0ms (0.8%)

Memory
-10.4MiB live, 63.2MiB allocated
Counts
17 → 588
Calls
Call 1
Inputs
#<alt (+ (* a (/ c (+ (* d d) (* c c)))) (* b (/ d (+ (* d d) (* c c)))))>
#<alt (/ c (+ (* d d) (* c c)))>
#<alt (+ (* d d) (* c c))>
#<alt (* c c)>
#<alt (/ b d)>
#<alt (/ 1 (/ d b))>
#<alt (/ d b)>
#<alt (/ (+ (* b (/ d c)) a) c)>
#<alt (+ (* b (/ d c)) a)>
#<alt (/ d c)>
#<alt (+ (* d (/ (* d (neg a)) c)) (* b d))>
#<alt (+ a (/ (+ (* d (/ (* d (neg a)) c)) (* b d)) c))>
#<alt (/ (+ a (/ (+ (* d (/ (* d (neg a)) c)) (* b d)) c)) c)>
#<alt (/ (+ (* d (/ (* d (neg a)) c)) (* b d)) c)>
#<alt (/ d (+ (* d d) (* c c)))>
#<alt (* b (/ d (+ (* d d) (* c c))))>
#<alt (/ (* d (neg a)) c)>
Outputs
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))>
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))>
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))>
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))>
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))>
#<alt (/ b d)>
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))>
#<alt (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))>
#<alt (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))>
#<alt (/ a c)>
#<alt (/ (+ a (/ (* b d) c)) c)>
#<alt (/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)>
#<alt (/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)>
#<alt (/ a c)>
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))>
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))>
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (+ (* a (pow d 2)) (/ (* b (pow d 3)) c)) c)) (* b d)) c))) c))>
#<alt (/ a c)>
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))>
#<alt (+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))>
#<alt (+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))>
#<alt (/ b d)>
#<alt (/ (+ b (/ (* a c) d)) d)>
#<alt (/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)>
#<alt (/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)>
#<alt (/ b d)>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (+ (* b (pow c 2)) (/ (* a (pow c 3)) d)) d)) (* a c)) d))) d))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))>
#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))>
#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))>
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))>
#<alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))>
#<alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))>
#<alt (/ c (pow d 2))>
#<alt (* c (+ (* -1 (/ (pow c 2) (pow d 4))) (/ 1 (pow d 2))))>
#<alt (* c (+ (* (pow c 2) (- (/ (pow c 2) (pow d 6)) (/ 1 (pow d 4)))) (/ 1 (pow d 2))))>
#<alt (* c (+ (* (pow c 2) (- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 8))) (/ 1 (pow d 6)))) (/ 1 (pow d 4)))) (/ 1 (pow d 2))))>
#<alt (/ 1 c)>
#<alt (/ (+ 1 (* -1 (/ (pow d 2) (pow c 2)))) c)>
#<alt (/ (- (+ 1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2))) c)>
#<alt (/ (- (+ 1 (* -1 (/ (pow d 6) (pow c 6)))) (+ (* -1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2)))) c)>
#<alt (/ 1 c)>
#<alt (* -1 (/ (- (/ (pow d 2) (pow c 2)) 1) c))>
#<alt (* -1 (/ (- (* -1 (/ (pow d 4) (pow c 4))) (+ 1 (* -1 (/ (pow d 2) (pow c 2))))) c))>
#<alt (* -1 (/ (- (/ (pow d 6) (pow c 6)) (+ 1 (+ (* -1 (/ (pow d 2) (pow c 2))) (/ (pow d 4) (pow c 4))))) c))>
#<alt (/ 1 c)>
#<alt (+ (* -1 (/ (pow d 2) (pow c 3))) (/ 1 c))>
#<alt (+ (* (pow d 2) (- (/ (pow d 2) (pow c 5)) (/ 1 (pow c 3)))) (/ 1 c))>
#<alt (+ (* (pow d 2) (- (* (pow d 2) (+ (* -1 (/ (pow d 2) (pow c 7))) (/ 1 (pow c 5)))) (/ 1 (pow c 3)))) (/ 1 c))>
#<alt (/ c (pow d 2))>
#<alt (/ (+ c (* -1 (/ (pow c 3) (pow d 2)))) (pow d 2))>
#<alt (/ (- (+ c (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2))) (pow d 2))>
#<alt (/ (- (+ c (* -1 (/ (pow c 7) (pow d 6)))) (+ (* -1 (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2)))) (pow d 2))>
#<alt (/ c (pow d 2))>
#<alt (/ (+ c (* -1 (/ (pow c 3) (pow d 2)))) (pow d 2))>
#<alt (/ (- (+ c (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2))) (pow d 2))>
#<alt (/ (- (+ c (* -1 (/ (pow c 7) (pow d 6)))) (+ (* -1 (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2)))) (pow d 2))>
#<alt (pow c 2)>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (pow d 2)>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (pow d 2)>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (pow d 2)>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (pow c 2)>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (pow c 2)>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ d b)>
#<alt (/ d b)>
#<alt (/ d b)>
#<alt (/ d b)>
#<alt (/ d b)>
#<alt (/ d b)>
#<alt (/ d b)>
#<alt (/ d b)>
#<alt (/ d b)>
#<alt (/ d b)>
#<alt (/ d b)>
#<alt (/ d b)>
#<alt (/ d b)>
#<alt (/ d b)>
#<alt (/ d b)>
#<alt (/ d b)>
#<alt (/ d b)>
#<alt (/ d b)>
#<alt (/ d b)>
#<alt (/ d b)>
#<alt (/ d b)>
#<alt (/ d b)>
#<alt (/ d b)>
#<alt (/ d b)>
#<alt (/ a c)>
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))>
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))>
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))>
#<alt (/ (* b d) (pow c 2))>
#<alt (* b (+ (/ a (* b c)) (/ d (pow c 2))))>
#<alt (* b (+ (/ a (* b c)) (/ d (pow c 2))))>
#<alt (* b (+ (/ a (* b c)) (/ d (pow c 2))))>
#<alt (/ (* b d) (pow c 2))>
#<alt (* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))>
#<alt (* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))>
#<alt (* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))>
#<alt (/ a c)>
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))>
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))>
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))>
#<alt (/ (* b d) (pow c 2))>
#<alt (* d (+ (/ a (* c d)) (/ b (pow c 2))))>
#<alt (* d (+ (/ a (* c d)) (/ b (pow c 2))))>
#<alt (* d (+ (/ a (* c d)) (/ b (pow c 2))))>
#<alt (/ (* b d) (pow c 2))>
#<alt (* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))>
#<alt (* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))>
#<alt (* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (+ (* a c) (* b d)) (pow c 2))>
#<alt (/ (+ (* a c) (* b d)) (pow c 2))>
#<alt (/ (+ (* a c) (* b d)) (pow c 2))>
#<alt (/ a c)>
#<alt (/ (+ a (/ (* b d) c)) c)>
#<alt (/ (+ a (/ (* b d) c)) c)>
#<alt (/ (+ a (/ (* b d) c)) c)>
#<alt (/ a c)>
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))>
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))>
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))>
#<alt (/ (* b d) (pow c 2))>
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))>
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))>
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))>
#<alt (/ a c)>
#<alt (* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))>
#<alt (* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))>
#<alt (* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))>
#<alt (/ a c)>
#<alt (* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))>
#<alt (* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))>
#<alt (* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))>
#<alt a>
#<alt (+ a (/ (* b d) c))>
#<alt (+ a (/ (* b d) c))>
#<alt (+ a (/ (* b d) c))>
#<alt (/ (* b d) c)>
#<alt (* b (+ (/ a b) (/ d c)))>
#<alt (* b (+ (/ a b) (/ d c)))>
#<alt (* b (+ (/ a b) (/ d c)))>
#<alt (/ (* b d) c)>
#<alt (* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c)))))>
#<alt (* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c)))))>
#<alt (* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c)))))>
#<alt a>
#<alt (+ a (/ (* b d) c))>
#<alt (+ a (/ (* b d) c))>
#<alt (+ a (/ (* b d) c))>
#<alt (/ (* b d) c)>
#<alt (* d (+ (/ a d) (/ b c)))>
#<alt (* d (+ (/ a d) (/ b c)))>
#<alt (* d (+ (/ a d) (/ b c)))>
#<alt (/ (* b d) c)>
#<alt (* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c)))))>
#<alt (* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c)))))>
#<alt (* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c)))))>
#<alt (/ (* b d) c)>
#<alt (/ (+ (* a c) (* b d)) c)>
#<alt (/ (+ (* a c) (* b d)) c)>
#<alt (/ (+ (* a c) (* b d)) c)>
#<alt a>
#<alt (+ a (/ (* b d) c))>
#<alt (+ a (/ (* b d) c))>
#<alt (+ a (/ (* b d) c))>
#<alt a>
#<alt (+ a (/ (* b d) c))>
#<alt (+ a (/ (* b d) c))>
#<alt (+ a (/ (* b d) c))>
#<alt (/ (* b d) c)>
#<alt (+ a (/ (* b d) c))>
#<alt (+ a (/ (* b d) c))>
#<alt (+ a (/ (* b d) c))>
#<alt a>
#<alt (* a (+ 1 (/ (* b d) (* a c))))>
#<alt (* a (+ 1 (/ (* b d) (* a c))))>
#<alt (* a (+ 1 (/ (* b d) (* a c))))>
#<alt a>
#<alt (* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1)))>
#<alt (* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1)))>
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#<alt (/ d c)>
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#<alt (+ (* -1 (/ (* a (pow d 2)) c)) (* b d))>
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#<alt (* a (+ (* -1 (/ (pow d 2) c)) (/ (* b d) a)))>
#<alt (* a (+ (* -1 (/ (pow d 2) c)) (/ (* b d) a)))>
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#<alt (/ (+ (* -1 (* a (pow d 2))) (* b (* c d))) c)>
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#<alt (* b (+ d (* -1 (/ (* a (pow d 2)) (* b c)))))>
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#<alt (+ a (* d (+ (* -1 (/ (* a d) (pow c 2))) (/ b c))))>
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#<alt (* (pow d 2) (+ (* -1 (/ a (pow c 2))) (/ b (* c d))))>
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#<alt (* (pow d 2) (+ (* -1 (/ a (pow c 2))) (* -1 (/ (+ (* -1 (/ a d)) (* -1 (/ b c))) d))))>
#<alt (* -1 (/ (* a (pow d 2)) (pow c 2)))>
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#<alt (/ (+ (* -1 (* a (pow d 2))) (* c (+ (* a c) (* b d)))) (pow c 2))>
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#<alt a>
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#<alt a>
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#<alt (+ a (* -1 (/ (* a (pow d 2)) (pow c 2))))>
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#<alt (* b (+ (* -1 (/ (* a (pow d 2)) (* b (pow c 2)))) (+ (/ a b) (/ d c))))>
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#<alt (/ (+ (* -1 (* a (pow d 2))) (* c (+ (* a c) (* b d)))) (pow c 3))>
#<alt (/ a c)>
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#<alt (/ a c)>
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#<alt (/ (+ a (* -1 (/ (* a (pow d 2)) (pow c 2)))) c)>
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#<alt (* b (+ (* -1 (/ (* a (pow d 2)) (* b (pow c 3)))) (+ (/ a (* b c)) (/ d (pow c 2)))))>
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#<alt (/ 1 d)>
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#<alt (/ 1 d)>
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#<alt (/ b d)>
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#<alt (/ (- (+ (* -1 (/ (* b (pow d 7)) (pow c 6))) (* b d)) (+ (* -1 (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2)))) (pow c 2))>
#<alt (* -1 (/ (* a d) c))>
#<alt (* -1 (/ (* a d) c))>
#<alt (* -1 (/ (* a d) c))>
#<alt (* -1 (/ (* a d) c))>
#<alt (* -1 (/ (* a d) c))>
#<alt (* -1 (/ (* a d) c))>
#<alt (* -1 (/ (* a d) c))>
#<alt (* -1 (/ (* a d) c))>
#<alt (* -1 (/ (* a d) c))>
#<alt (* -1 (/ (* a d) c))>
#<alt (* -1 (/ (* a d) c))>
#<alt (* -1 (/ (* a d) c))>
#<alt (* -1 (/ (* a d) c))>
#<alt (* -1 (/ (* a d) c))>
#<alt (* -1 (/ (* a d) c))>
#<alt (* -1 (/ (* a d) c))>
#<alt (* -1 (/ (* a d) c))>
#<alt (* -1 (/ (* a d) c))>
#<alt (* -1 (/ (* a d) c))>
#<alt (* -1 (/ (* a d) c))>
#<alt (* -1 (/ (* a d) c))>
#<alt (* -1 (/ (* a d) c))>
#<alt (* -1 (/ (* a d) c))>
#<alt (* -1 (/ (* a d) c))>
#<alt (* -1 (/ (* a d) c))>
#<alt (* -1 (/ (* a d) c))>
#<alt (* -1 (/ (* a d) c))>
#<alt (* -1 (/ (* a d) c))>
#<alt (* -1 (/ (* a d) c))>
#<alt (* -1 (/ (* a d) c))>
#<alt (* -1 (/ (* a d) c))>
#<alt (* -1 (/ (* a d) c))>
#<alt (* -1 (/ (* a d) c))>
#<alt (* -1 (/ (* a d) c))>
#<alt (* -1 (/ (* a d) c))>
#<alt (* -1 (/ (* a d) c))>
Calls

147 calls:

TimeVariablePointExpression
37.0ms
d
@-inf
(/ d c)
6.0ms
d
@inf
(/ c (+ (* d d) (* c c)))
1.0ms
d
@inf
(/ d (+ (* d d) (* c c)))
1.0ms
c
@0
(/ (* d (neg a)) c)
1.0ms
a
@0
(+ (* a (/ c (+ (* d d) (* c c)))) (* b (/ d (+ (* d d) (* c c)))))

rewrite375.0ms (3.6%)

Memory
31.2MiB live, 623.1MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 254×/-lowering-/.f32
5 254×/-lowering-/.f64
4 624×accelerator-lowering-fma.f32
4 624×accelerator-lowering-fma.f64
4 254×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029156
1170148
21416148
08205135
Stop Event
iter limit
node limit
Counts
17 → 809
Calls
Call 1
Inputs
(+ (* a (/ c (+ (* d d) (* c c)))) (* b (/ d (+ (* d d) (* c c)))))
(/ c (+ (* d d) (* c c)))
(+ (* d d) (* c c))
(* c c)
(/ b d)
(/ 1 (/ d b))
(/ d b)
(/ (+ (* b (/ d c)) a) c)
(+ (* b (/ d c)) a)
(/ d c)
(+ (* d (/ (* d (neg a)) c)) (* b d))
(+ a (/ (+ (* d (/ (* d (neg a)) c)) (* b d)) c))
(/ (+ a (/ (+ (* d (/ (* d (neg a)) c)) (* b d)) c)) c)
(/ (+ (* d (/ (* d (neg a)) c)) (* b d)) c)
(/ d (+ (* d d) (* c c)))
(* b (/ d (+ (* d d) (* c c))))
(/ (* d (neg a)) c)
Outputs
(+.f64 (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 d b) (fma.f64 d d (*.f64 c c))))
(+.f64 (/.f64 (*.f64 d b) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d d (*.f64 c c)))) (/.f64 (-.f64 (*.f64 a c) (*.f64 d b)) (fma.f64 d d (*.f64 c c)))) (/.f64 (/.f64 (*.f64 d (*.f64 b (*.f64 d b))) (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d d (*.f64 c c)))) (/.f64 (-.f64 (*.f64 a c) (*.f64 d b)) (fma.f64 d d (*.f64 c c)))))
(-.f64 (/.f64 (/.f64 (*.f64 d (*.f64 b (*.f64 d b))) (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d d (*.f64 c c)))) (/.f64 (-.f64 (*.f64 d b) (*.f64 a c)) (fma.f64 d d (*.f64 c c)))) (/.f64 (/.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d d (*.f64 c c)))) (/.f64 (-.f64 (*.f64 d b) (*.f64 a c)) (fma.f64 d d (*.f64 c c)))))
(fma.f64 a (/.f64 c (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 d b) (fma.f64 d d (*.f64 c c))))
(fma.f64 c (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) a) (/.f64 (*.f64 d b) (fma.f64 d d (*.f64 c c))))
(fma.f64 d (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) b) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))
(fma.f64 d (/.f64 b (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))
(fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a (/.f64 (*.f64 d b) (fma.f64 d d (*.f64 c c))))
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))
(fma.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 d b) (fma.f64 d d (*.f64 c c))))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 d b) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))
(fma.f64 (*.f64 d b) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (/.f64 a (/.f64 #s(literal 1 binary64) c)) (/.f64 (*.f64 d b) (fma.f64 d d (*.f64 c c))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (/.f64 b (/.f64 #s(literal 1 binary64) d)) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))
(fma.f64 (*.f64 a c) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 d b) (fma.f64 d d (*.f64 c c))))
(fma.f64 (neg.f64 (*.f64 d b)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 d d (*.f64 c c)))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))
(fma.f64 (neg.f64 (*.f64 a c)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 d d (*.f64 c c)))) (/.f64 (*.f64 d b) (fma.f64 d d (*.f64 c c))))
(fma.f64 (*.f64 c #s(literal 1 binary64)) (/.f64 a (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 d b) (fma.f64 d d (*.f64 c c))))
(fma.f64 (*.f64 (neg.f64 d) b) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 d d (*.f64 c c)))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))
(fma.f64 (*.f64 #s(literal 1 binary64) b) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))
(fma.f64 (*.f64 a #s(literal 1 binary64)) (/.f64 c (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 d b) (fma.f64 d d (*.f64 c c))))
(fma.f64 (*.f64 a (neg.f64 c)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 d d (*.f64 c c)))) (/.f64 (*.f64 d b) (fma.f64 d d (*.f64 c c))))
(fma.f64 (*.f64 b #s(literal 1 binary64)) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))
(fma.f64 (*.f64 b (neg.f64 d)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 d d (*.f64 c c)))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))
(fma.f64 (*.f64 #s(literal 1 binary64) a) (/.f64 c (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 d b) (fma.f64 d d (*.f64 c c))))
(fma.f64 (*.f64 (neg.f64 c) a) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 d d (*.f64 c c)))) (/.f64 (*.f64 d b) (fma.f64 d d (*.f64 c c))))
(fma.f64 (/.f64 (*.f64 d b) (fma.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c)))))) (fma.f64 d (*.f64 d (*.f64 d d)) (*.f64 (*.f64 c c) (-.f64 (*.f64 c c) (*.f64 d d)))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))
(fma.f64 (/.f64 (*.f64 d b) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 d c) (-.f64 d c)))) (*.f64 (+.f64 d c) (-.f64 d c)) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))
(fma.f64 (/.f64 (*.f64 a c) (fma.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c)))))) (fma.f64 d (*.f64 d (*.f64 d d)) (*.f64 (*.f64 c c) (-.f64 (*.f64 c c) (*.f64 d d)))) (/.f64 (*.f64 d b) (fma.f64 d d (*.f64 c c))))
(fma.f64 (/.f64 (*.f64 a c) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 d c) (-.f64 d c)))) (*.f64 (+.f64 d c) (-.f64 d c)) (/.f64 (*.f64 d b) (fma.f64 d d (*.f64 c c))))
(fma.f64 (/.f64 d (fma.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c)))))) (/.f64 b (/.f64 #s(literal 1 binary64) (fma.f64 d (*.f64 d (*.f64 d d)) (*.f64 (*.f64 c c) (-.f64 (*.f64 c c) (*.f64 d d)))))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))
(fma.f64 (/.f64 d (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 d c) (-.f64 d c)))) (/.f64 b (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 d c) (-.f64 d c)))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))
(fma.f64 (/.f64 c (fma.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c)))))) (/.f64 a (/.f64 #s(literal 1 binary64) (fma.f64 d (*.f64 d (*.f64 d d)) (*.f64 (*.f64 c c) (-.f64 (*.f64 c c) (*.f64 d d)))))) (/.f64 (*.f64 d b) (fma.f64 d d (*.f64 c c))))
(fma.f64 (/.f64 c (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 d c) (-.f64 d c)))) (/.f64 a (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 d c) (-.f64 d c)))) (/.f64 (*.f64 d b) (fma.f64 d d (*.f64 c c))))
(fma.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))
(fma.f64 (/.f64 a (fma.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c)))))) (/.f64 c (/.f64 #s(literal 1 binary64) (fma.f64 d (*.f64 d (*.f64 d d)) (*.f64 (*.f64 c c) (-.f64 (*.f64 c c) (*.f64 d d)))))) (/.f64 (*.f64 d b) (fma.f64 d d (*.f64 c c))))
(fma.f64 (/.f64 a (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 d c) (-.f64 d c)))) (/.f64 c (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 d c) (-.f64 d c)))) (/.f64 (*.f64 d b) (fma.f64 d d (*.f64 c c))))
(fma.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) (*.f64 c #s(literal 1 binary64)) (/.f64 (*.f64 d b) (fma.f64 d d (*.f64 c c))))
(fma.f64 (/.f64 a #s(literal -1 binary64)) (/.f64 (neg.f64 c) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 d b) (fma.f64 d d (*.f64 c c))))
(fma.f64 (/.f64 b (fma.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c)))))) (/.f64 d (/.f64 #s(literal 1 binary64) (fma.f64 d (*.f64 d (*.f64 d d)) (*.f64 (*.f64 c c) (-.f64 (*.f64 c c) (*.f64 d d)))))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))
(fma.f64 (/.f64 b (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 d c) (-.f64 d c)))) (/.f64 d (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 d c) (-.f64 d c)))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))
(fma.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 (neg.f64 d) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 a (/.f64 c (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 d b) (fma.f64 d d (*.f64 c c))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (/.f64 c (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 d b) (fma.f64 d d (*.f64 c c))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 d (*.f64 b (*.f64 d b))) (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d d (*.f64 c c)))) (/.f64 (-.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (*.f64 (*.f64 a c) (*.f64 d b))) (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d d (*.f64 c c))))) (fma.f64 (*.f64 a (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d d (*.f64 c c))))) (/.f64 (*.f64 (*.f64 d b) (*.f64 d (*.f64 b (*.f64 d b)))) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d d (*.f64 c c))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d d (*.f64 c c))) (fma.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 d b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d d (*.f64 c c))) (fma.f64 (*.f64 d b) (fma.f64 d d (*.f64 c c)) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 a c)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (*.f64 d b) (*.f64 a c)) (fma.f64 d d (*.f64 c c))) (/.f64 (-.f64 (*.f64 d (*.f64 b (*.f64 d b))) (*.f64 (*.f64 a c) (*.f64 a c))) (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d d (*.f64 c c))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (/.f64 c (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 d b) (fma.f64 d d (*.f64 c c)))))))
(/.f64 (fma.f64 (*.f64 a (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d d (*.f64 c c))))) (/.f64 (*.f64 (*.f64 d b) (*.f64 d (*.f64 b (*.f64 d b)))) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d d (*.f64 c c)))))) (fma.f64 (/.f64 (*.f64 d b) (fma.f64 d d (*.f64 c c))) (/.f64 (-.f64 (*.f64 d b) (*.f64 a c)) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d d (*.f64 c c))))))
(/.f64 (fma.f64 (*.f64 a (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d d (*.f64 c c))))) (/.f64 (*.f64 (*.f64 d b) (*.f64 d (*.f64 b (*.f64 d b)))) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d d (*.f64 c c)))))) (+.f64 (/.f64 (*.f64 d (*.f64 b (*.f64 d b))) (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d d (*.f64 c c)))) (/.f64 (-.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (*.f64 (*.f64 a c) (*.f64 d b))) (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d d (*.f64 c c))))))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (*.f64 d (*.f64 b (*.f64 d b)))) (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d d (*.f64 c c)))) (/.f64 (-.f64 (*.f64 a c) (*.f64 d b)) (fma.f64 d d (*.f64 c c))))
(/.f64 (fma.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 d b))) (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d d (*.f64 c c))))
(/.f64 (fma.f64 (*.f64 d b) (fma.f64 d d (*.f64 c c)) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 a c))) (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d d (*.f64 c c))))
(/.f64 (neg.f64 (fma.f64 (*.f64 a (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d d (*.f64 c c))))) (/.f64 (*.f64 (*.f64 d b) (*.f64 d (*.f64 b (*.f64 d b)))) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d d (*.f64 c c))))))) (neg.f64 (fma.f64 (/.f64 (*.f64 d b) (fma.f64 d d (*.f64 c c))) (/.f64 (-.f64 (*.f64 d b) (*.f64 a c)) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d d (*.f64 c c)))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 a (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d d (*.f64 c c))))) (/.f64 (*.f64 (*.f64 d b) (*.f64 d (*.f64 b (*.f64 d b)))) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d d (*.f64 c c))))))) (neg.f64 (+.f64 (/.f64 (*.f64 d (*.f64 b (*.f64 d b))) (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d d (*.f64 c c)))) (/.f64 (-.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (*.f64 (*.f64 a c) (*.f64 d b))) (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d d (*.f64 c c)))))))
(/.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (*.f64 d (*.f64 b (*.f64 d b)))) (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d d (*.f64 c c))))) (neg.f64 (/.f64 (-.f64 (*.f64 a c) (*.f64 d b)) (fma.f64 d d (*.f64 c c)))))
(/.f64 (/.f64 (-.f64 (*.f64 d (*.f64 b (*.f64 d b))) (*.f64 (*.f64 a c) (*.f64 a c))) (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d d (*.f64 c c)))) (/.f64 (-.f64 (*.f64 d b) (*.f64 a c)) (fma.f64 d d (*.f64 c c))))
(/.f64 (fma.f64 a (/.f64 (fma.f64 d d (*.f64 c c)) d) (*.f64 (/.f64 (fma.f64 d d (*.f64 c c)) c) b)) (*.f64 (/.f64 (fma.f64 d d (*.f64 c c)) c) (/.f64 (fma.f64 d d (*.f64 c c)) d)))
(/.f64 (fma.f64 a (/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 d b)) (/.f64 (fma.f64 d d (*.f64 c c)) c)) (*.f64 (/.f64 (fma.f64 d d (*.f64 c c)) c) (/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 d b))))
(/.f64 (fma.f64 a (fma.f64 d d (*.f64 c c)) (*.f64 (/.f64 (fma.f64 d d (*.f64 c c)) c) (*.f64 d b))) (*.f64 (/.f64 (fma.f64 d d (*.f64 c c)) c) (fma.f64 d d (*.f64 c c))))
(/.f64 (fma.f64 a (neg.f64 (fma.f64 d d (*.f64 c c))) (*.f64 (/.f64 (fma.f64 d d (*.f64 c c)) c) (neg.f64 (*.f64 d b)))) (*.f64 (/.f64 (fma.f64 d d (*.f64 c c)) c) (neg.f64 (fma.f64 d d (*.f64 c c)))))
(/.f64 (fma.f64 a (neg.f64 (fma.f64 d d (*.f64 c c))) (*.f64 (/.f64 (fma.f64 d d (*.f64 c c)) c) (*.f64 (neg.f64 d) b))) (*.f64 (/.f64 (fma.f64 d d (*.f64 c c)) c) (neg.f64 (fma.f64 d d (*.f64 c c)))))
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(*.f64 (/.f64 d (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 d c) (-.f64 d c)))) (/.f64 b (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 d c) (-.f64 d c)))))
(*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d)
(*.f64 (/.f64 b (fma.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c)))))) (/.f64 d (/.f64 #s(literal 1 binary64) (fma.f64 d (*.f64 d (*.f64 d d)) (*.f64 (*.f64 c c) (-.f64 (*.f64 c c) (*.f64 d d)))))))
(*.f64 (/.f64 b (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 d c) (-.f64 d c)))) (/.f64 d (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 d c) (-.f64 d c)))))
(*.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 (neg.f64 d) (fma.f64 d d (*.f64 c c))))
(exp.f64 (*.f64 (log.f64 (/.f64 c (*.f64 d (neg.f64 a)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) c) (/.f64 (*.f64 a d) c))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 c))) (/.f64 (*.f64 a d) c))
(neg.f64 (/.f64 (*.f64 a d) c))
(/.f64 #s(literal 1 binary64) (/.f64 c (*.f64 d (neg.f64 a))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 c (*.f64 d (neg.f64 a))))))
(/.f64 #s(literal 1 binary64) (/.f64 c (*.f64 (*.f64 d (neg.f64 a)) #s(literal 1 binary64))))
(/.f64 (*.f64 d (neg.f64 a)) c)
(/.f64 (*.f64 d (neg.f64 a)) (neg.f64 (neg.f64 c)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 c (*.f64 d (neg.f64 a)))))
(/.f64 (*.f64 a d) (neg.f64 c))
(/.f64 (*.f64 a d) (neg.f64 (neg.f64 (neg.f64 c))))
(/.f64 (*.f64 (*.f64 d (neg.f64 a)) #s(literal 1 binary64)) c)
(/.f64 (neg.f64 (*.f64 (*.f64 d (neg.f64 a)) #s(literal 1 binary64))) (neg.f64 c))
(pow.f64 (/.f64 c (*.f64 d (neg.f64 a))) #s(literal -1 binary64))
(*.f64 d (/.f64 (neg.f64 a) c))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 d (neg.f64 a)) c))
(*.f64 (neg.f64 a) (/.f64 d c))
(*.f64 (*.f64 d (neg.f64 a)) (/.f64 #s(literal 1 binary64) c))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 c (*.f64 d (neg.f64 a))))))
(*.f64 (*.f64 a d) (/.f64 #s(literal 1 binary64) (neg.f64 c)))
(*.f64 (/.f64 #s(literal 1 binary64) c) (*.f64 d (neg.f64 a)))
(*.f64 (/.f64 #s(literal 1 binary64) c) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 a d)) #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 a) c) d)
(*.f64 (*.f64 (*.f64 d (neg.f64 a)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) c))
(*.f64 (/.f64 a #s(literal -1 binary64)) (/.f64 d c))
(*.f64 (/.f64 d #s(literal -1 binary64)) (/.f64 a c))
(*.f64 (/.f64 d #s(literal -1 binary64)) (/.f64 (neg.f64 (neg.f64 a)) c))
(*.f64 (/.f64 (neg.f64 a) #s(literal -1 binary64)) (/.f64 (neg.f64 d) c))
(*.f64 (/.f64 (neg.f64 (neg.f64 a)) #s(literal -1 binary64)) (/.f64 d c))

simplify391.0ms (3.7%)

Memory
12.4MiB live, 613.8MiB allocated
Algorithm
egg-herbie
Rules
8 926×accelerator-lowering-fma.f32
8 926×accelerator-lowering-fma.f64
5 648×*-lowering-*.f32
5 648×*-lowering-*.f64
2 144×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05886721
118506465
256506296
083226084
Stop Event
iter limit
node limit
Counts
588 → 588
Calls
Call 1
Inputs
(/ (* b d) (+ (pow c 2) (pow d 2)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(/ b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(/ a c)
(/ (+ a (/ (* b d) c)) c)
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)
(/ a c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (+ (* a (pow d 2)) (/ (* b (pow d 3)) c)) c)) (* b d)) c))) c))
(/ a c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))
(/ b d)
(/ (+ b (/ (* a c) d)) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)
(/ b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (+ (* b (pow c 2)) (/ (* a (pow c 3)) d)) d)) (* a c)) d))) d))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(/ c (pow d 2))
(* c (+ (* -1 (/ (pow c 2) (pow d 4))) (/ 1 (pow d 2))))
(* c (+ (* (pow c 2) (- (/ (pow c 2) (pow d 6)) (/ 1 (pow d 4)))) (/ 1 (pow d 2))))
(* c (+ (* (pow c 2) (- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 8))) (/ 1 (pow d 6)))) (/ 1 (pow d 4)))) (/ 1 (pow d 2))))
(/ 1 c)
(/ (+ 1 (* -1 (/ (pow d 2) (pow c 2)))) c)
(/ (- (+ 1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2))) c)
(/ (- (+ 1 (* -1 (/ (pow d 6) (pow c 6)))) (+ (* -1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2)))) c)
(/ 1 c)
(* -1 (/ (- (/ (pow d 2) (pow c 2)) 1) c))
(* -1 (/ (- (* -1 (/ (pow d 4) (pow c 4))) (+ 1 (* -1 (/ (pow d 2) (pow c 2))))) c))
(* -1 (/ (- (/ (pow d 6) (pow c 6)) (+ 1 (+ (* -1 (/ (pow d 2) (pow c 2))) (/ (pow d 4) (pow c 4))))) c))
(/ 1 c)
(+ (* -1 (/ (pow d 2) (pow c 3))) (/ 1 c))
(+ (* (pow d 2) (- (/ (pow d 2) (pow c 5)) (/ 1 (pow c 3)))) (/ 1 c))
(+ (* (pow d 2) (- (* (pow d 2) (+ (* -1 (/ (pow d 2) (pow c 7))) (/ 1 (pow c 5)))) (/ 1 (pow c 3)))) (/ 1 c))
(/ c (pow d 2))
(/ (+ c (* -1 (/ (pow c 3) (pow d 2)))) (pow d 2))
(/ (- (+ c (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2))) (pow d 2))
(/ (- (+ c (* -1 (/ (pow c 7) (pow d 6)))) (+ (* -1 (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2)))) (pow d 2))
(/ c (pow d 2))
(/ (+ c (* -1 (/ (pow c 3) (pow d 2)))) (pow d 2))
(/ (- (+ c (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2))) (pow d 2))
(/ (- (+ c (* -1 (/ (pow c 7) (pow d 6)))) (+ (* -1 (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2)))) (pow d 2))
(pow c 2)
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(pow d 2)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(pow d 2)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(pow d 2)
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(pow c 2)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(pow c 2)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ d b)
(/ d b)
(/ d b)
(/ d b)
(/ d b)
(/ d b)
(/ d b)
(/ d b)
(/ d b)
(/ d b)
(/ d b)
(/ d b)
(/ d b)
(/ d b)
(/ d b)
(/ d b)
(/ d b)
(/ d b)
(/ d b)
(/ d b)
(/ d b)
(/ d b)
(/ d b)
(/ d b)
(/ a c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (/ a c) (/ (* b d) (pow c 2)))
(/ (* b d) (pow c 2))
(* b (+ (/ a (* b c)) (/ d (pow c 2))))
(* b (+ (/ a (* b c)) (/ d (pow c 2))))
(* b (+ (/ a (* b c)) (/ d (pow c 2))))
(/ (* b d) (pow c 2))
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))
(/ a c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (/ a c) (/ (* b d) (pow c 2)))
(/ (* b d) (pow c 2))
(* d (+ (/ a (* c d)) (/ b (pow c 2))))
(* d (+ (/ a (* c d)) (/ b (pow c 2))))
(* d (+ (/ a (* c d)) (/ b (pow c 2))))
(/ (* b d) (pow c 2))
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))
(/ (* b d) (pow c 2))
(/ (+ (* a c) (* b d)) (pow c 2))
(/ (+ (* a c) (* b d)) (pow c 2))
(/ (+ (* a c) (* b d)) (pow c 2))
(/ a c)
(/ (+ a (/ (* b d) c)) c)
(/ (+ a (/ (* b d) c)) c)
(/ (+ a (/ (* b d) c)) c)
(/ a c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(/ (* b d) (pow c 2))
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (/ a c) (/ (* b d) (pow c 2)))
(/ a c)
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))
(/ a c)
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))
a
(+ a (/ (* b d) c))
(+ a (/ (* b d) c))
(+ a (/ (* b d) c))
(/ (* b d) c)
(* b (+ (/ a b) (/ d c)))
(* b (+ (/ a b) (/ d c)))
(* b (+ (/ a b) (/ d c)))
(/ (* b d) c)
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c)))))
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c)))))
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c)))))
a
(+ a (/ (* b d) c))
(+ a (/ (* b d) c))
(+ a (/ (* b d) c))
(/ (* b d) c)
(* d (+ (/ a d) (/ b c)))
(* d (+ (/ a d) (/ b c)))
(* d (+ (/ a d) (/ b c)))
(/ (* b d) c)
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(/ (* b d) c)
(/ (+ (* a c) (* b d)) c)
(/ (+ (* a c) (* b d)) c)
(/ (+ (* a c) (* b d)) c)
a
(+ a (/ (* b d) c))
(+ a (/ (* b d) c))
(+ a (/ (* b d) c))
a
(+ a (/ (* b d) c))
(+ a (/ (* b d) c))
(+ a (/ (* b d) c))
(/ (* b d) c)
(+ a (/ (* b d) c))
(+ a (/ (* b d) c))
(+ a (/ (* b d) c))
a
(* a (+ 1 (/ (* b d) (* a c))))
(* a (+ 1 (/ (* b d) (* a c))))
(* a (+ 1 (/ (* b d) (* a c))))
a
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1)))
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1)))
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1)))
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(* b d)
(* d (+ b (* -1 (/ (* a d) c))))
(* d (+ b (* -1 (/ (* a d) c))))
(* d (+ b (* -1 (/ (* a d) c))))
(* -1 (/ (* a (pow d 2)) c))
(* (pow d 2) (+ (* -1 (/ a c)) (/ b d)))
(* (pow d 2) (+ (* -1 (/ a c)) (/ b d)))
(* (pow d 2) (+ (* -1 (/ a c)) (/ b d)))
(* -1 (/ (* a (pow d 2)) c))
(* (pow d 2) (+ (* -1 (/ a c)) (/ b d)))
(* (pow d 2) (+ (* -1 (/ a c)) (/ b d)))
(* (pow d 2) (+ (* -1 (/ a c)) (/ b d)))
(* b d)
(+ (* -1 (/ (* a (pow d 2)) c)) (* b d))
(+ (* -1 (/ (* a (pow d 2)) c)) (* b d))
(+ (* -1 (/ (* a (pow d 2)) c)) (* b d))
(* -1 (/ (* a (pow d 2)) c))
(* a (+ (* -1 (/ (pow d 2) c)) (/ (* b d) a)))
(* a (+ (* -1 (/ (pow d 2) c)) (/ (* b d) a)))
(* a (+ (* -1 (/ (pow d 2) c)) (/ (* b d) a)))
(* -1 (/ (* a (pow d 2)) c))
(* -1 (* a (+ (* -1 (/ (* b d) a)) (/ (pow d 2) c))))
(* -1 (* a (+ (* -1 (/ (* b d) a)) (/ (pow d 2) c))))
(* -1 (* a (+ (* -1 (/ (* b d) a)) (/ (pow d 2) c))))
(* -1 (/ (* a (pow d 2)) c))
(/ (+ (* -1 (* a (pow d 2))) (* b (* c d))) c)
(/ (+ (* -1 (* a (pow d 2))) (* b (* c d))) c)
(/ (+ (* -1 (* a (pow d 2))) (* b (* c d))) c)
(* b d)
(+ (* -1 (/ (* a (pow d 2)) c)) (* b d))
(+ (* -1 (/ (* a (pow d 2)) c)) (* b d))
(+ (* -1 (/ (* a (pow d 2)) c)) (* b d))
(* b d)
(+ (* -1 (/ (* a (pow d 2)) c)) (* b d))
(+ (* -1 (/ (* a (pow d 2)) c)) (* b d))
(+ (* -1 (/ (* a (pow d 2)) c)) (* b d))
(* -1 (/ (* a (pow d 2)) c))
(+ (* -1 (/ (* a (pow d 2)) c)) (* b d))
(+ (* -1 (/ (* a (pow d 2)) c)) (* b d))
(+ (* -1 (/ (* a (pow d 2)) c)) (* b d))
(* b d)
(* b (+ d (* -1 (/ (* a (pow d 2)) (* b c)))))
(* b (+ d (* -1 (/ (* a (pow d 2)) (* b c)))))
(* b (+ d (* -1 (/ (* a (pow d 2)) (* b c)))))
(* b d)
(* -1 (* b (+ (* -1 d) (/ (* a (pow d 2)) (* b c)))))
(* -1 (* b (+ (* -1 d) (/ (* a (pow d 2)) (* b c)))))
(* -1 (* b (+ (* -1 d) (/ (* a (pow d 2)) (* b c)))))
(/ (* b d) c)
(+ (* a (+ 1 (* -1 (/ (pow d 2) (pow c 2))))) (/ (* b d) c))
(+ (* a (+ 1 (* -1 (/ (pow d 2) (pow c 2))))) (/ (* b d) c))
(+ (* a (+ 1 (* -1 (/ (pow d 2) (pow c 2))))) (/ (* b d) c))
(* a (+ 1 (* -1 (/ (pow d 2) (pow c 2)))))
(* a (+ 1 (+ (* -1 (/ (pow d 2) (pow c 2))) (/ (* b d) (* a c)))))
(* a (+ 1 (+ (* -1 (/ (pow d 2) (pow c 2))) (/ (* b d) (* a c)))))
(* a (+ 1 (+ (* -1 (/ (pow d 2) (pow c 2))) (/ (* b d) (* a c)))))
(* -1 (* a (- (/ (pow d 2) (pow c 2)) 1)))
(* -1 (* a (- (+ (* -1 (/ (* b d) (* a c))) (/ (pow d 2) (pow c 2))) 1)))
(* -1 (* a (- (+ (* -1 (/ (* b d) (* a c))) (/ (pow d 2) (pow c 2))) 1)))
(* -1 (* a (- (+ (* -1 (/ (* b d) (* a c))) (/ (pow d 2) (pow c 2))) 1)))
a
(+ a (/ (* b d) c))
(+ a (* d (+ (* -1 (/ (* a d) (pow c 2))) (/ b c))))
(+ a (* d (+ (* -1 (/ (* a d) (pow c 2))) (/ b c))))
(* -1 (/ (* a (pow d 2)) (pow c 2)))
(* (pow d 2) (+ (* -1 (/ a (pow c 2))) (/ b (* c d))))
(* (pow d 2) (+ (* -1 (/ a (pow c 2))) (+ (/ a (pow d 2)) (/ b (* c d)))))
(* (pow d 2) (+ (* -1 (/ a (pow c 2))) (+ (/ a (pow d 2)) (/ b (* c d)))))
(* -1 (/ (* a (pow d 2)) (pow c 2)))
(* (pow d 2) (+ (* -1 (/ a (pow c 2))) (/ b (* c d))))
(* (pow d 2) (+ (* -1 (/ a (pow c 2))) (* -1 (/ (+ (* -1 (/ a d)) (* -1 (/ b c))) d))))
(* (pow d 2) (+ (* -1 (/ a (pow c 2))) (* -1 (/ (+ (* -1 (/ a d)) (* -1 (/ b c))) d))))
(* -1 (/ (* a (pow d 2)) (pow c 2)))
(/ (+ (* -1 (* a (pow d 2))) (* b (* c d))) (pow c 2))
(/ (+ (* -1 (* a (pow d 2))) (* c (+ (* a c) (* b d)))) (pow c 2))
(/ (+ (* -1 (* a (pow d 2))) (* c (+ (* a c) (* b d)))) (pow c 2))
a
(+ a (/ (* b d) c))
(+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c)))
(+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c)))
a
(+ a (/ (* b d) c))
(+ a (* -1 (/ (+ (* -1 (* b d)) (/ (* a (pow d 2)) c)) c)))
(+ a (* -1 (/ (+ (* -1 (* b d)) (/ (* a (pow d 2)) c)) c)))
(+ a (* -1 (/ (* a (pow d 2)) (pow c 2))))
(+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c)))
(+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c)))
(+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c)))
(/ (* b d) c)
(* b (+ (* -1 (/ (* a (pow d 2)) (* b (pow c 2)))) (+ (/ a b) (/ d c))))
(* b (+ (* -1 (/ (* a (pow d 2)) (* b (pow c 2)))) (+ (/ a b) (/ d c))))
(* b (+ (* -1 (/ (* a (pow d 2)) (* b (pow c 2)))) (+ (/ a b) (/ d c))))
(/ (* b d) c)
(* -1 (* b (+ (* -1 (/ d c)) (* -1 (/ (+ a (* -1 (/ (* a (pow d 2)) (pow c 2)))) b)))))
(* -1 (* b (+ (* -1 (/ d c)) (* -1 (/ (+ a (* -1 (/ (* a (pow d 2)) (pow c 2)))) b)))))
(* -1 (* b (+ (* -1 (/ d c)) (* -1 (/ (+ a (* -1 (/ (* a (pow d 2)) (pow c 2)))) b)))))
(/ (* b d) (pow c 2))
(+ (* a (+ (* -1 (/ (pow d 2) (pow c 3))) (/ 1 c))) (/ (* b d) (pow c 2)))
(+ (* a (+ (* -1 (/ (pow d 2) (pow c 3))) (/ 1 c))) (/ (* b d) (pow c 2)))
(+ (* a (+ (* -1 (/ (pow d 2) (pow c 3))) (/ 1 c))) (/ (* b d) (pow c 2)))
(/ (* a (+ 1 (* -1 (/ (pow d 2) (pow c 2))))) c)
(* a (+ (* -1 (/ (pow d 2) (pow c 3))) (+ (/ 1 c) (/ (* b d) (* a (pow c 2))))))
(* a (+ (* -1 (/ (pow d 2) (pow c 3))) (+ (/ 1 c) (/ (* b d) (* a (pow c 2))))))
(* a (+ (* -1 (/ (pow d 2) (pow c 3))) (+ (/ 1 c) (/ (* b d) (* a (pow c 2))))))
(* -1 (/ (* a (- (/ (pow d 2) (pow c 2)) 1)) c))
(* -1 (* a (- (+ (* -1 (/ (* b d) (* a (pow c 2)))) (/ (pow d 2) (pow c 3))) (/ 1 c))))
(* -1 (* a (- (+ (* -1 (/ (* b d) (* a (pow c 2)))) (/ (pow d 2) (pow c 3))) (/ 1 c))))
(* -1 (* a (- (+ (* -1 (/ (* b d) (* a (pow c 2)))) (/ (pow d 2) (pow c 3))) (/ 1 c))))
(/ a c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))
(* -1 (/ (* a (pow d 2)) (pow c 3)))
(* (pow d 2) (+ (* -1 (/ a (pow c 3))) (/ b (* (pow c 2) d))))
(* (pow d 2) (+ (* -1 (/ a (pow c 3))) (+ (/ a (* c (pow d 2))) (/ b (* (pow c 2) d)))))
(* (pow d 2) (+ (* -1 (/ a (pow c 3))) (+ (/ a (* c (pow d 2))) (/ b (* (pow c 2) d)))))
(* -1 (/ (* a (pow d 2)) (pow c 3)))
(* (pow d 2) (+ (* -1 (/ a (pow c 3))) (/ b (* (pow c 2) d))))
(* (pow d 2) (+ (* -1 (/ a (pow c 3))) (* -1 (/ (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))) d))))
(* (pow d 2) (+ (* -1 (/ a (pow c 3))) (* -1 (/ (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))) d))))
(* -1 (/ (* a (pow d 2)) (pow c 3)))
(/ (+ (* -1 (* a (pow d 2))) (* b (* c d))) (pow c 3))
(/ (+ (* -1 (* a (pow d 2))) (* c (+ (* a c) (* b d)))) (pow c 3))
(/ (+ (* -1 (* a (pow d 2))) (* c (+ (* a c) (* b d)))) (pow c 3))
(/ a c)
(/ (+ a (/ (* b d) c)) c)
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)
(/ a c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))
(/ (+ a (* -1 (/ (* a (pow d 2)) (pow c 2)))) c)
(+ (* -1 (/ (* a (pow d 2)) (pow c 3))) (+ (/ a c) (/ (* b d) (pow c 2))))
(+ (* -1 (/ (* a (pow d 2)) (pow c 3))) (+ (/ a c) (/ (* b d) (pow c 2))))
(+ (* -1 (/ (* a (pow d 2)) (pow c 3))) (+ (/ a c) (/ (* b d) (pow c 2))))
(/ (* b d) (pow c 2))
(* b (+ (* -1 (/ (* a (pow d 2)) (* b (pow c 3)))) (+ (/ a (* b c)) (/ d (pow c 2)))))
(* b (+ (* -1 (/ (* a (pow d 2)) (* b (pow c 3)))) (+ (/ a (* b c)) (/ d (pow c 2)))))
(* b (+ (* -1 (/ (* a (pow d 2)) (* b (pow c 3)))) (+ (/ a (* b c)) (/ d (pow c 2)))))
(/ (* b d) (pow c 2))
(* -1 (* b (+ (* -1 (/ d (pow c 2))) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) (pow c 3))) (/ a c)) b)))))
(* -1 (* b (+ (* -1 (/ d (pow c 2))) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) (pow c 3))) (/ a c)) b)))))
(* -1 (* b (+ (* -1 (/ d (pow c 2))) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) (pow c 3))) (/ a c)) b)))))
(/ (* b d) c)
(* d (+ (* -1 (/ (* a d) (pow c 2))) (/ b c)))
(* d (+ (* -1 (/ (* a d) (pow c 2))) (/ b c)))
(* d (+ (* -1 (/ (* a d) (pow c 2))) (/ b c)))
(* -1 (/ (* a (pow d 2)) (pow c 2)))
(* (pow d 2) (+ (* -1 (/ a (pow c 2))) (/ b (* c d))))
(* (pow d 2) (+ (* -1 (/ a (pow c 2))) (/ b (* c d))))
(* (pow d 2) (+ (* -1 (/ a (pow c 2))) (/ b (* c d))))
(* -1 (/ (* a (pow d 2)) (pow c 2)))
(* (pow d 2) (+ (* -1 (/ a (pow c 2))) (/ b (* c d))))
(* (pow d 2) (+ (* -1 (/ a (pow c 2))) (/ b (* c d))))
(* (pow d 2) (+ (* -1 (/ a (pow c 2))) (/ b (* c d))))
(/ (* b d) c)
(+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))
(+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))
(+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))
(* -1 (/ (* a (pow d 2)) (pow c 2)))
(* a (+ (* -1 (/ (pow d 2) (pow c 2))) (/ (* b d) (* a c))))
(* a (+ (* -1 (/ (pow d 2) (pow c 2))) (/ (* b d) (* a c))))
(* a (+ (* -1 (/ (pow d 2) (pow c 2))) (/ (* b d) (* a c))))
(* -1 (/ (* a (pow d 2)) (pow c 2)))
(* -1 (* a (+ (* -1 (/ (* b d) (* a c))) (/ (pow d 2) (pow c 2)))))
(* -1 (* a (+ (* -1 (/ (* b d) (* a c))) (/ (pow d 2) (pow c 2)))))
(* -1 (* a (+ (* -1 (/ (* b d) (* a c))) (/ (pow d 2) (pow c 2)))))
(* -1 (/ (* a (pow d 2)) (pow c 2)))
(/ (+ (* -1 (* a (pow d 2))) (* b (* c d))) (pow c 2))
(/ (+ (* -1 (* a (pow d 2))) (* b (* c d))) (pow c 2))
(/ (+ (* -1 (* a (pow d 2))) (* b (* c d))) (pow c 2))
(/ (* b d) c)
(/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c)
(/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c)
(/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c)
(/ (* b d) c)
(* -1 (/ (+ (* -1 (* b d)) (/ (* a (pow d 2)) c)) c))
(* -1 (/ (+ (* -1 (* b d)) (/ (* a (pow d 2)) c)) c))
(* -1 (/ (+ (* -1 (* b d)) (/ (* a (pow d 2)) c)) c))
(* -1 (/ (* a (pow d 2)) (pow c 2)))
(+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))
(+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))
(+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))
(/ (* b d) c)
(* b (+ (* -1 (/ (* a (pow d 2)) (* b (pow c 2)))) (/ d c)))
(* b (+ (* -1 (/ (* a (pow d 2)) (* b (pow c 2)))) (/ d c)))
(* b (+ (* -1 (/ (* a (pow d 2)) (* b (pow c 2)))) (/ d c)))
(/ (* b d) c)
(* -1 (* b (+ (* -1 (/ d c)) (/ (* a (pow d 2)) (* b (pow c 2))))))
(* -1 (* b (+ (* -1 (/ d c)) (/ (* a (pow d 2)) (* b (pow c 2))))))
(* -1 (* b (+ (* -1 (/ d c)) (/ (* a (pow d 2)) (* b (pow c 2))))))
(/ d (pow c 2))
(* d (+ (* -1 (/ (pow d 2) (pow c 4))) (/ 1 (pow c 2))))
(* d (+ (* (pow d 2) (- (/ (pow d 2) (pow c 6)) (/ 1 (pow c 4)))) (/ 1 (pow c 2))))
(* d (+ (* (pow d 2) (- (* (pow d 2) (+ (* -1 (/ (pow d 2) (pow c 8))) (/ 1 (pow c 6)))) (/ 1 (pow c 4)))) (/ 1 (pow c 2))))
(/ 1 d)
(/ (+ 1 (* -1 (/ (pow c 2) (pow d 2)))) d)
(/ (- (+ 1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2))) d)
(/ (- (+ 1 (* -1 (/ (pow c 6) (pow d 6)))) (+ (* -1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2)))) d)
(/ 1 d)
(* -1 (/ (- (/ (pow c 2) (pow d 2)) 1) d))
(* -1 (/ (- (* -1 (/ (pow c 4) (pow d 4))) (+ 1 (* -1 (/ (pow c 2) (pow d 2))))) d))
(* -1 (/ (- (/ (pow c 6) (pow d 6)) (+ 1 (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (pow c 4) (pow d 4))))) d))
(/ 1 d)
(+ (* -1 (/ (pow c 2) (pow d 3))) (/ 1 d))
(+ (* (pow c 2) (- (/ (pow c 2) (pow d 5)) (/ 1 (pow d 3)))) (/ 1 d))
(+ (* (pow c 2) (- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 7))) (/ 1 (pow d 5)))) (/ 1 (pow d 3)))) (/ 1 d))
(/ d (pow c 2))
(/ (+ d (* -1 (/ (pow d 3) (pow c 2)))) (pow c 2))
(/ (- (+ d (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2))) (pow c 2))
(/ (- (+ d (* -1 (/ (pow d 7) (pow c 6)))) (+ (* -1 (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2)))) (pow c 2))
(/ d (pow c 2))
(/ (+ d (* -1 (/ (pow d 3) (pow c 2)))) (pow c 2))
(/ (- (+ d (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2))) (pow c 2))
(/ (- (+ d (* -1 (/ (pow d 7) (pow c 6)))) (+ (* -1 (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2)))) (pow c 2))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(/ (* b d) (pow c 2))
(* d (+ (* -1 (/ (* b (pow d 2)) (pow c 4))) (/ b (pow c 2))))
(* d (+ (* (pow d 2) (- (/ (* b (pow d 2)) (pow c 6)) (/ b (pow c 4)))) (/ b (pow c 2))))
(* d (+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* b (pow d 2)) (pow c 8))) (* -1 (/ b (pow c 6))))) (/ b (pow c 4)))) (/ b (pow c 2))))
(/ b d)
(/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) d)
(/ (- (+ b (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2))) d)
(/ (- (+ b (* -1 (/ (* b (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d)
(/ b d)
(* -1 (/ (+ (* -1 b) (/ (* b (pow c 2)) (pow d 2))) d))
(* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d))
(* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (+ (/ (* b (pow c 2)) (pow d 2)) (/ (* b (pow c 6)) (pow d 6))))) d))
(/ b d)
(+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d))
(+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 5)) (/ b (pow d 3)))) (/ b d))
(+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 7))) (* -1 (/ b (pow d 5))))) (/ b (pow d 3)))) (/ b d))
(/ (* b d) (pow c 2))
(/ (+ (* -1 (/ (* b (pow d 3)) (pow c 2))) (* b d)) (pow c 2))
(/ (- (+ (* b d) (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2))) (pow c 2))
(/ (- (+ (* -1 (/ (* b (pow d 7)) (pow c 6))) (* b d)) (+ (* -1 (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2)))) (pow c 2))
(/ (* b d) (pow c 2))
(/ (+ (* -1 (/ (* b (pow d 3)) (pow c 2))) (* b d)) (pow c 2))
(/ (- (+ (* b d) (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2))) (pow c 2))
(/ (- (+ (* -1 (/ (* b (pow d 7)) (pow c 6))) (* b d)) (+ (* -1 (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2)))) (pow c 2))
(* -1 (/ (* a d) c))
(* -1 (/ (* a d) c))
(* -1 (/ (* a d) c))
(* -1 (/ (* a d) c))
(* -1 (/ (* a d) c))
(* -1 (/ (* a d) c))
(* -1 (/ (* a d) c))
(* -1 (/ (* a d) c))
(* -1 (/ (* a d) c))
(* -1 (/ (* a d) c))
(* -1 (/ (* a d) c))
(* -1 (/ (* a d) c))
(* -1 (/ (* a d) c))
(* -1 (/ (* a d) c))
(* -1 (/ (* a d) c))
(* -1 (/ (* a d) c))
(* -1 (/ (* a d) c))
(* -1 (/ (* a d) c))
(* -1 (/ (* a d) c))
(* -1 (/ (* a d) c))
(* -1 (/ (* a d) c))
(* -1 (/ (* a d) c))
(* -1 (/ (* a d) c))
(* -1 (/ (* a d) c))
(* -1 (/ (* a d) c))
(* -1 (/ (* a d) c))
(* -1 (/ (* a d) c))
(* -1 (/ (* a d) c))
(* -1 (/ (* a d) c))
(* -1 (/ (* a d) c))
(* -1 (/ (* a d) c))
(* -1 (/ (* a d) c))
(* -1 (/ (* a d) c))
(* -1 (/ (* a d) c))
(* -1 (/ (* a d) c))
(* -1 (/ (* a d) c))
Outputs
(/ (* b d) (+ (pow c 2) (pow d 2)))
(*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (*.f64 c (/.f64 a (fma.f64 d d (*.f64 c c)))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (*.f64 c (/.f64 a (fma.f64 d d (*.f64 c c)))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (*.f64 c (/.f64 a (fma.f64 d d (*.f64 c c)))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(*.f64 c (/.f64 a (fma.f64 d d (*.f64 c c))))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(*.f64 a (fma.f64 b (/.f64 d (*.f64 (fma.f64 d d (*.f64 c c)) a)) (/.f64 c (fma.f64 d d (*.f64 c c)))))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(*.f64 a (fma.f64 b (/.f64 d (*.f64 (fma.f64 d d (*.f64 c c)) a)) (/.f64 c (fma.f64 d d (*.f64 c c)))))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(*.f64 a (fma.f64 b (/.f64 d (*.f64 (fma.f64 d d (*.f64 c c)) a)) (/.f64 c (fma.f64 d d (*.f64 c c)))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(*.f64 c (/.f64 a (fma.f64 d d (*.f64 c c))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(*.f64 a (fma.f64 b (/.f64 d (*.f64 (fma.f64 d d (*.f64 c c)) a)) (/.f64 c (fma.f64 d d (*.f64 c c)))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(*.f64 a (fma.f64 b (/.f64 d (*.f64 (fma.f64 d d (*.f64 c c)) a)) (/.f64 c (fma.f64 d d (*.f64 c c)))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(*.f64 a (fma.f64 b (/.f64 d (*.f64 (fma.f64 d d (*.f64 c c)) a)) (/.f64 c (fma.f64 d d (*.f64 c c)))))
(/ b d)
(/.f64 b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(fma.f64 c (fma.f64 c (/.f64 b (*.f64 d (*.f64 d (neg.f64 d)))) (/.f64 a (*.f64 d d))) (/.f64 b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(fma.f64 c (fma.f64 c (neg.f64 (fma.f64 a (/.f64 c (*.f64 (*.f64 d d) (*.f64 d d))) (/.f64 b (*.f64 d (*.f64 d d))))) (/.f64 a (*.f64 d d))) (/.f64 b d))
(/ a c)
(/.f64 a c)
(/ (+ a (/ (* b d) c)) c)
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)
(/.f64 (+.f64 a (/.f64 (*.f64 d (-.f64 b (*.f64 d (/.f64 a c)))) c)) c)
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)
(/.f64 (+.f64 (-.f64 a (/.f64 (*.f64 b (*.f64 d (*.f64 d d))) (*.f64 c (*.f64 c c)))) (/.f64 (*.f64 d (-.f64 b (*.f64 d (/.f64 a c)))) c)) c)
(/ a c)
(/.f64 a c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))
(/.f64 (+.f64 a (/.f64 (*.f64 d (-.f64 b (*.f64 d (/.f64 a c)))) c)) c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (+ (* a (pow d 2)) (/ (* b (pow d 3)) c)) c)) (* b d)) c))) c))
(/.f64 (+.f64 a (/.f64 (-.f64 (*.f64 b d) (/.f64 (fma.f64 b (/.f64 (*.f64 d (*.f64 d d)) c) (*.f64 (*.f64 d d) a)) c)) c)) c)
(/ a c)
(/.f64 a c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))
(fma.f64 a (/.f64 (fma.f64 (neg.f64 d) (/.f64 d (*.f64 c c)) #s(literal 1 binary64)) c) (*.f64 b (/.f64 d (*.f64 c c))))
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))
(fma.f64 d (fma.f64 d (neg.f64 (fma.f64 b (/.f64 d (*.f64 (*.f64 c c) (*.f64 c c))) (/.f64 a (*.f64 c (*.f64 c c))))) (/.f64 b (*.f64 c c))) (/.f64 a c))
(/ b d)
(/.f64 b d)
(/ (+ b (/ (* a c) d)) d)
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/.f64 (+.f64 b (/.f64 (-.f64 (*.f64 c a) (/.f64 (*.f64 b (*.f64 c c)) d)) d)) d)
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)
(/.f64 (+.f64 (fma.f64 (neg.f64 a) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 d (*.f64 d d))) b) (/.f64 (-.f64 (*.f64 c a) (/.f64 (*.f64 b (*.f64 c c)) d)) d)) d)
(/ b d)
(/.f64 b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(/.f64 (+.f64 b (/.f64 (-.f64 (*.f64 c a) (/.f64 (*.f64 b (*.f64 c c)) d)) d)) d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (+ (* b (pow c 2)) (/ (* a (pow c 3)) d)) d)) (* a c)) d))) d))
(/.f64 (+.f64 b (/.f64 (-.f64 (*.f64 c a) (/.f64 (fma.f64 b (*.f64 c c) (*.f64 a (/.f64 (*.f64 c (*.f64 c c)) d))) d)) d)) d)
(/ (* a c) (+ (pow c 2) (pow d 2)))
(*.f64 c (/.f64 a (fma.f64 d d (*.f64 c c))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (*.f64 c (/.f64 a (fma.f64 d d (*.f64 c c)))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (*.f64 c (/.f64 a (fma.f64 d d (*.f64 c c)))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (*.f64 c (/.f64 a (fma.f64 d d (*.f64 c c)))))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(*.f64 b (fma.f64 c (/.f64 a (*.f64 b (fma.f64 d d (*.f64 c c)))) (/.f64 d (fma.f64 d d (*.f64 c c)))))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
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(*.f64 d (fma.f64 (*.f64 d d) (fma.f64 (*.f64 d d) (/.f64 b (pow.f64 c #s(literal 6 binary64))) (neg.f64 (/.f64 b (*.f64 (*.f64 c c) (*.f64 c c))))) (/.f64 b (*.f64 c c))))
(* d (+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* b (pow d 2)) (pow c 8))) (* -1 (/ b (pow c 6))))) (/ b (pow c 4)))) (/ b (pow c 2))))
(*.f64 d (fma.f64 (*.f64 d d) (fma.f64 (*.f64 d d) (-.f64 (/.f64 b (pow.f64 c #s(literal 6 binary64))) (/.f64 (*.f64 b (*.f64 d d)) (pow.f64 c #s(literal 8 binary64)))) (neg.f64 (/.f64 b (*.f64 (*.f64 c c) (*.f64 c c))))) (/.f64 b (*.f64 c c))))
(/ b d)
(/.f64 b d)
(/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) d)
(/.f64 (fma.f64 (neg.f64 b) (/.f64 (*.f64 c c) (*.f64 d d)) b) d)
(/ (- (+ b (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2))) d)
(/.f64 (fma.f64 b (fma.f64 (neg.f64 c) (/.f64 c (*.f64 d d)) (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 d d) (*.f64 d d)))) b) d)
(/ (- (+ b (* -1 (/ (* b (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d)
(/.f64 (fma.f64 b (/.f64 (neg.f64 (pow.f64 c #s(literal 6 binary64))) (pow.f64 d #s(literal 6 binary64))) (fma.f64 b (fma.f64 (neg.f64 c) (/.f64 c (*.f64 d d)) (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 d d) (*.f64 d d)))) b)) d)
(/ b d)
(/.f64 b d)
(* -1 (/ (+ (* -1 b) (/ (* b (pow c 2)) (pow d 2))) d))
(/.f64 (fma.f64 (neg.f64 b) (/.f64 (*.f64 c c) (*.f64 d d)) b) d)
(* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d))
(/.f64 (fma.f64 b (fma.f64 (neg.f64 c) (/.f64 c (*.f64 d d)) (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 d d) (*.f64 d d)))) b) d)
(* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (+ (/ (* b (pow c 2)) (pow d 2)) (/ (* b (pow c 6)) (pow d 6))))) d))
(/.f64 (fma.f64 b (fma.f64 c (/.f64 c (*.f64 d d)) (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (/.f64 b (*.f64 (*.f64 d d) (*.f64 d d))) b))) (neg.f64 d))
(/ b d)
(/.f64 b d)
(+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d))
(/.f64 (fma.f64 (neg.f64 b) (/.f64 (*.f64 c c) (*.f64 d d)) b) d)
(+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 5)) (/ b (pow d 3)))) (/ b d))
(fma.f64 (*.f64 c c) (-.f64 (/.f64 (*.f64 b (*.f64 c c)) (pow.f64 d #s(literal 5 binary64))) (/.f64 b (*.f64 d (*.f64 d d)))) (/.f64 b d))
(+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 7))) (* -1 (/ b (pow d 5))))) (/ b (pow d 3)))) (/ b d))
(fma.f64 (*.f64 c c) (-.f64 (*.f64 (*.f64 c c) (-.f64 (/.f64 b (pow.f64 d #s(literal 5 binary64))) (/.f64 (*.f64 b (*.f64 c c)) (pow.f64 d #s(literal 7 binary64))))) (/.f64 b (*.f64 d (*.f64 d d)))) (/.f64 b d))
(/ (* b d) (pow c 2))
(*.f64 b (/.f64 d (*.f64 c c)))
(/ (+ (* -1 (/ (* b (pow d 3)) (pow c 2))) (* b d)) (pow c 2))
(/.f64 (-.f64 (*.f64 b d) (/.f64 (*.f64 b (*.f64 d (*.f64 d d))) (*.f64 c c))) (*.f64 c c))
(/ (- (+ (* b d) (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2))) (pow c 2))
(/.f64 (fma.f64 b (-.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) (*.f64 (*.f64 c c) (*.f64 c c))) (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c c))) (*.f64 b d)) (*.f64 c c))
(/ (- (+ (* -1 (/ (* b (pow d 7)) (pow c 6))) (* b d)) (+ (* -1 (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2)))) (pow c 2))
(/.f64 (fma.f64 b (-.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) (*.f64 (*.f64 c c) (*.f64 c c))) (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c c))) (fma.f64 (neg.f64 b) (/.f64 (pow.f64 d #s(literal 7 binary64)) (pow.f64 c #s(literal 6 binary64))) (*.f64 b d))) (*.f64 c c))
(/ (* b d) (pow c 2))
(*.f64 b (/.f64 d (*.f64 c c)))
(/ (+ (* -1 (/ (* b (pow d 3)) (pow c 2))) (* b d)) (pow c 2))
(/.f64 (-.f64 (*.f64 b d) (/.f64 (*.f64 b (*.f64 d (*.f64 d d))) (*.f64 c c))) (*.f64 c c))
(/ (- (+ (* b d) (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2))) (pow c 2))
(/.f64 (fma.f64 b (-.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) (*.f64 (*.f64 c c) (*.f64 c c))) (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c c))) (*.f64 b d)) (*.f64 c c))
(/ (- (+ (* -1 (/ (* b (pow d 7)) (pow c 6))) (* b d)) (+ (* -1 (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2)))) (pow c 2))
(/.f64 (fma.f64 b (-.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) (*.f64 (*.f64 c c) (*.f64 c c))) (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c c))) (fma.f64 (neg.f64 b) (/.f64 (pow.f64 d #s(literal 7 binary64)) (pow.f64 c #s(literal 6 binary64))) (*.f64 b d))) (*.f64 c c))
(* -1 (/ (* a d) c))
(*.f64 d (/.f64 a (neg.f64 c)))
(* -1 (/ (* a d) c))
(*.f64 d (/.f64 a (neg.f64 c)))
(* -1 (/ (* a d) c))
(*.f64 d (/.f64 a (neg.f64 c)))
(* -1 (/ (* a d) c))
(*.f64 d (/.f64 a (neg.f64 c)))
(* -1 (/ (* a d) c))
(*.f64 d (/.f64 a (neg.f64 c)))
(* -1 (/ (* a d) c))
(*.f64 d (/.f64 a (neg.f64 c)))
(* -1 (/ (* a d) c))
(*.f64 d (/.f64 a (neg.f64 c)))
(* -1 (/ (* a d) c))
(*.f64 d (/.f64 a (neg.f64 c)))
(* -1 (/ (* a d) c))
(*.f64 d (/.f64 a (neg.f64 c)))
(* -1 (/ (* a d) c))
(*.f64 d (/.f64 a (neg.f64 c)))
(* -1 (/ (* a d) c))
(*.f64 d (/.f64 a (neg.f64 c)))
(* -1 (/ (* a d) c))
(*.f64 d (/.f64 a (neg.f64 c)))
(* -1 (/ (* a d) c))
(*.f64 d (/.f64 a (neg.f64 c)))
(* -1 (/ (* a d) c))
(*.f64 d (/.f64 a (neg.f64 c)))
(* -1 (/ (* a d) c))
(*.f64 d (/.f64 a (neg.f64 c)))
(* -1 (/ (* a d) c))
(*.f64 d (/.f64 a (neg.f64 c)))
(* -1 (/ (* a d) c))
(*.f64 d (/.f64 a (neg.f64 c)))
(* -1 (/ (* a d) c))
(*.f64 d (/.f64 a (neg.f64 c)))
(* -1 (/ (* a d) c))
(*.f64 d (/.f64 a (neg.f64 c)))
(* -1 (/ (* a d) c))
(*.f64 d (/.f64 a (neg.f64 c)))
(* -1 (/ (* a d) c))
(*.f64 d (/.f64 a (neg.f64 c)))
(* -1 (/ (* a d) c))
(*.f64 d (/.f64 a (neg.f64 c)))
(* -1 (/ (* a d) c))
(*.f64 d (/.f64 a (neg.f64 c)))
(* -1 (/ (* a d) c))
(*.f64 d (/.f64 a (neg.f64 c)))
(* -1 (/ (* a d) c))
(*.f64 d (/.f64 a (neg.f64 c)))
(* -1 (/ (* a d) c))
(*.f64 d (/.f64 a (neg.f64 c)))
(* -1 (/ (* a d) c))
(*.f64 d (/.f64 a (neg.f64 c)))
(* -1 (/ (* a d) c))
(*.f64 d (/.f64 a (neg.f64 c)))
(* -1 (/ (* a d) c))
(*.f64 d (/.f64 a (neg.f64 c)))
(* -1 (/ (* a d) c))
(*.f64 d (/.f64 a (neg.f64 c)))
(* -1 (/ (* a d) c))
(*.f64 d (/.f64 a (neg.f64 c)))
(* -1 (/ (* a d) c))
(*.f64 d (/.f64 a (neg.f64 c)))
(* -1 (/ (* a d) c))
(*.f64 d (/.f64 a (neg.f64 c)))
(* -1 (/ (* a d) c))
(*.f64 d (/.f64 a (neg.f64 c)))
(* -1 (/ (* a d) c))
(*.f64 d (/.f64 a (neg.f64 c)))
(* -1 (/ (* a d) c))
(*.f64 d (/.f64 a (neg.f64 c)))

eval348.0ms (3.3%)

Memory
6.9MiB live, 263.6MiB allocated
Compiler

Compiled 37 495 to 2 916 computations (92.2% saved)

prune189.0ms (1.8%)

Memory
-7.4MiB live, 251.8MiB allocated
Pruning

25 alts after pruning (20 fresh and 5 done)

PrunedKeptTotal
New1 470101 480
Fresh71017
Picked235
Done022
Total1 479251 504
Accuracy
99.2%
Counts
1 504 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
56.0%
(fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c))
41.5%
(fma.f64 c (fma.f64 (/.f64 (/.f64 b d) d) (/.f64 (neg.f64 c) d) (/.f64 a (*.f64 d d))) (/.f64 b d))
49.6%
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
56.4%
(/.f64 (fma.f64 (/.f64 b c) d a) c)
48.4%
(/.f64 (fma.f64 c (/.f64 a d) b) d)
56.7%
(/.f64 (fma.f64 b (/.f64 d c) a) c)
35.5%
(/.f64 (fma.f64 b d (*.f64 c a)) (*.f64 c c))
49.0%
(/.f64 (fma.f64 a (/.f64 c d) b) d)
23.6%
(/.f64 (/.f64 (*.f64 b d) c) c)
52.8%
(/.f64 (+.f64 (/.f64 (*.f64 d (fma.f64 d (/.f64 (neg.f64 a) c) b)) c) a) c)
28.1%
(/.f64 (*.f64 b d) (*.f64 d d))
19.1%
(/.f64 (*.f64 b d) (*.f64 c c))
40.2%
(/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))
18.1%
(/.f64 (*.f64 a c) (*.f64 d d))
39.3%
(/.f64 b d)
44.0%
(/.f64 a c)
40.2%
(/.f64 #s(literal 1 binary64) (fma.f64 c (fma.f64 c (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b d)) (/.f64 (*.f64 a a) (*.f64 b (*.f64 b (*.f64 b d))))) (/.f64 a (*.f64 (neg.f64 b) b))) (/.f64 d b)))
39.1%
(/.f64 #s(literal 1 binary64) (/.f64 d b))
39.0%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) d))
56.3%
(*.f64 (fma.f64 d (/.f64 b c) a) (/.f64 #s(literal 1 binary64) c))
39.2%
(*.f64 (/.f64 #s(literal 1 binary64) d) b)
43.9%
(*.f64 (/.f64 #s(literal 1 binary64) c) (pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64)))
43.9%
(*.f64 (/.f64 #s(literal 1 binary64) c) a)
41.9%
(*.f64 c (/.f64 a (fma.f64 d d (*.f64 c c))))
18.6%
(*.f64 b (/.f64 d (*.f64 c c)))
Compiler

Compiled 613 to 374 computations (39% saved)

simplify41.0ms (0.4%)

Memory
-30.7MiB live, 10.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 a d)
cost-diff0
(fma.f64 c (/.f64 a d) b)
cost-diff0
(/.f64 (fma.f64 c (/.f64 a d) b) d)
cost-diff0
(*.f64 c c)
cost-diff0
(fma.f64 d d (*.f64 c c))
cost-diff0
(*.f64 a c)
cost-diff0
(/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))
cost-diff0
(*.f64 c c)
cost-diff0
(*.f64 b d)
cost-diff0
(/.f64 (*.f64 b d) (*.f64 c c))
cost-diff0
(/.f64 #s(literal 1 binary64) c)
cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) c) a)
cost-diff0
(/.f64 b c)
cost-diff0
(fma.f64 (/.f64 b c) d a)
cost-diff0
(/.f64 (fma.f64 (/.f64 b c) d a) c)
Rules
304×*-lowering-*.f32
304×*-lowering-*.f64
184×times-frac
132×/-lowering-/.f32
132×/-lowering-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022100
14498
26298
39598
411398
517598
618198
719298
821598
926698
1032898
1134898
1238598
1342498
1443398
043392
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(/ (+ (* (/ b c) d) a) c)
(+ (* (/ b c) d) a)
(/ b c)
b
c
d
a
(* (/ 1 c) a)
(/ 1 c)
1
c
a
(/ (* b d) (* c c))
(* b d)
b
d
(* c c)
c
(/ (* a c) (+ (* d d) (* c c)))
(* a c)
a
c
(+ (* d d) (* c c))
d
(* c c)
(/ (+ (* c (/ a d)) b) d)
(+ (* c (/ a d)) b)
c
(/ a d)
a
d
b
Outputs
(/ (+ (* (/ b c) d) a) c)
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(+ (* (/ b c) d) a)
(fma.f64 b (/.f64 d c) a)
(/ b c)
(/.f64 b c)
b
c
d
a
(* (/ 1 c) a)
(/.f64 a c)
(/ 1 c)
(/.f64 #s(literal 1 binary64) c)
1
#s(literal 1 binary64)
c
a
(/ (* b d) (* c c))
(/.f64 (*.f64 b d) (*.f64 c c))
(* b d)
(*.f64 b d)
b
d
(* c c)
(*.f64 c c)
c
(/ (* a c) (+ (* d d) (* c c)))
(*.f64 a (/.f64 c (fma.f64 c c (*.f64 d d))))
(* a c)
(*.f64 c a)
a
c
(+ (* d d) (* c c))
(fma.f64 c c (*.f64 d d))
d
(* c c)
(*.f64 c c)
(/ (+ (* c (/ a d)) b) d)
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(+ (* c (/ a d)) b)
(fma.f64 c (/.f64 a d) b)
c
(/ a d)
(/.f64 a d)
a
d
b

localize64.0ms (0.6%)

Memory
37.4MiB live, 114.0MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 a d)
accuracy99.9%
(/.f64 (fma.f64 c (/.f64 a d) b) d)
accuracy97.9%
(fma.f64 c (/.f64 a d) b)
accuracy100.0%
(fma.f64 d d (*.f64 c c))
accuracy100.0%
(*.f64 c c)
accuracy100.0%
(*.f64 a c)
accuracy71.6%
(/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))
accuracy100.0%
(*.f64 c c)
accuracy100.0%
(*.f64 b d)
accuracy82.4%
(/.f64 (*.f64 b d) (*.f64 c c))
accuracy100.0%
(/.f64 #s(literal 1 binary64) c)
accuracy99.6%
(*.f64 (/.f64 #s(literal 1 binary64) c) a)
accuracy100.0%
(/.f64 b c)
accuracy98.8%
(/.f64 (fma.f64 (/.f64 b c) d a) c)
accuracy96.9%
(fma.f64 (/.f64 b c) d a)
Samples
43.0ms256×0valid
Compiler

Compiled 96 to 24 computations (75% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-div: 11.0ms (40.6% of total)
ival-mult: 10.0ms (36.9% of total)
ival-add: 4.0ms (14.8% of total)
ival-assert: 1.0ms (3.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series18.0ms (0.2%)

Memory
-7.4MiB live, 28.9MiB allocated
Counts
14 → 432
Calls
Call 1
Inputs
#<alt (/ (+ (* (/ b c) d) a) c)>
#<alt (+ (* (/ b c) d) a)>
#<alt (/ b c)>
#<alt (* (/ 1 c) a)>
#<alt (/ 1 c)>
#<alt (/ (* b d) (* c c))>
#<alt (* b d)>
#<alt (* c c)>
#<alt (/ (* a c) (+ (* d d) (* c c)))>
#<alt (* a c)>
#<alt (+ (* d d) (* c c))>
#<alt (/ (+ (* c (/ a d)) b) d)>
#<alt (+ (* c (/ a d)) b)>
#<alt (/ a d)>
Outputs
#<alt (/ a c)>
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))>
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))>
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))>
#<alt (/ (* b d) (pow c 2))>
#<alt (* b (+ (/ a (* b c)) (/ d (pow c 2))))>
#<alt (* b (+ (/ a (* b c)) (/ d (pow c 2))))>
#<alt (* b (+ (/ a (* b c)) (/ d (pow c 2))))>
#<alt (/ (* b d) (pow c 2))>
#<alt (* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))>
#<alt (* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))>
#<alt (* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (+ (* a c) (* b d)) (pow c 2))>
#<alt (/ (+ (* a c) (* b d)) (pow c 2))>
#<alt (/ (+ (* a c) (* b d)) (pow c 2))>
#<alt (/ a c)>
#<alt (/ (+ a (/ (* b d) c)) c)>
#<alt (/ (+ a (/ (* b d) c)) c)>
#<alt (/ (+ a (/ (* b d) c)) c)>
#<alt (/ a c)>
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))>
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))>
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))>
#<alt (/ a c)>
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))>
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))>
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))>
#<alt (/ (* b d) (pow c 2))>
#<alt (* d (+ (/ a (* c d)) (/ b (pow c 2))))>
#<alt (* d (+ (/ a (* c d)) (/ b (pow c 2))))>
#<alt (* d (+ (/ a (* c d)) (/ b (pow c 2))))>
#<alt (/ (* b d) (pow c 2))>
#<alt (* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))>
#<alt (* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))>
#<alt (* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))>
#<alt (/ (* b d) (pow c 2))>
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))>
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))>
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))>
#<alt (/ a c)>
#<alt (* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))>
#<alt (* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))>
#<alt (* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))>
#<alt (/ a c)>
#<alt (* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))>
#<alt (* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))>
#<alt (* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))>
#<alt a>
#<alt (+ a (/ (* b d) c))>
#<alt (+ a (/ (* b d) c))>
#<alt (+ a (/ (* b d) c))>
#<alt (/ (* b d) c)>
#<alt (* b (+ (/ a b) (/ d c)))>
#<alt (* b (+ (/ a b) (/ d c)))>
#<alt (* b (+ (/ a b) (/ d c)))>
#<alt (/ (* b d) c)>
#<alt (* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c)))))>
#<alt (* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c)))))>
#<alt (* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c)))))>
#<alt (/ (* b d) c)>
#<alt (/ (+ (* a c) (* b d)) c)>
#<alt (/ (+ (* a c) (* b d)) c)>
#<alt (/ (+ (* a c) (* b d)) c)>
#<alt a>
#<alt (+ a (/ (* b d) c))>
#<alt (+ a (/ (* b d) c))>
#<alt (+ a (/ (* b d) c))>
#<alt a>
#<alt (+ a (/ (* b d) c))>
#<alt (+ a (/ (* b d) c))>
#<alt (+ a (/ (* b d) c))>
#<alt a>
#<alt (+ a (/ (* b d) c))>
#<alt (+ a (/ (* b d) c))>
#<alt (+ a (/ (* b d) c))>
#<alt (/ (* b d) c)>
#<alt (* d (+ (/ a d) (/ b c)))>
#<alt (* d (+ (/ a d) (/ b c)))>
#<alt (* d (+ (/ a d) (/ b c)))>
#<alt (/ (* b d) c)>
#<alt (* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c)))))>
#<alt (* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c)))))>
#<alt (* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c)))))>
#<alt (/ (* b d) c)>
#<alt (+ a (/ (* b d) c))>
#<alt (+ a (/ (* b d) c))>
#<alt (+ a (/ (* b d) c))>
#<alt a>
#<alt (* a (+ 1 (/ (* b d) (* a c))))>
#<alt (* a (+ 1 (/ (* b d) (* a c))))>
#<alt (* a (+ 1 (/ (* b d) (* a c))))>
#<alt a>
#<alt (* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1)))>
#<alt (* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1)))>
#<alt (* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1)))>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ 1 c)>
#<alt (/ 1 c)>
#<alt (/ 1 c)>
#<alt (/ 1 c)>
#<alt (/ 1 c)>
#<alt (/ 1 c)>
#<alt (/ 1 c)>
#<alt (/ 1 c)>
#<alt (/ 1 c)>
#<alt (/ 1 c)>
#<alt (/ 1 c)>
#<alt (/ 1 c)>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* a c) (pow d 2))>
#<alt (* c (+ (* -1 (/ (* a (pow c 2)) (pow d 4))) (/ a (pow d 2))))>
#<alt (* c (+ (* (pow c 2) (- (/ (* a (pow c 2)) (pow d 6)) (/ a (pow d 4)))) (/ a (pow d 2))))>
#<alt (* c (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* a (pow c 2)) (pow d 8))) (* -1 (/ a (pow d 6))))) (/ a (pow d 4)))) (/ a (pow d 2))))>
#<alt (/ a c)>
#<alt (/ (+ a (* -1 (/ (* a (pow d 2)) (pow c 2)))) c)>
#<alt (/ (- (+ a (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2))) c)>
#<alt (/ (- (+ a (* -1 (/ (* a (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2)))) c)>
#<alt (/ a c)>
#<alt (* -1 (/ (+ (* -1 a) (/ (* a (pow d 2)) (pow c 2))) c))>
#<alt (* -1 (/ (+ (* -1 a) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2)))) c))>
#<alt (* -1 (/ (+ (* -1 a) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (+ (/ (* a (pow d 2)) (pow c 2)) (/ (* a (pow d 6)) (pow c 6))))) c))>
#<alt (/ a c)>
#<alt (+ (* -1 (/ (* a (pow d 2)) (pow c 3))) (/ a c))>
#<alt (+ (* (pow d 2) (- (/ (* a (pow d 2)) (pow c 5)) (/ a (pow c 3)))) (/ a c))>
#<alt (+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* a (pow d 2)) (pow c 7))) (* -1 (/ a (pow c 5))))) (/ a (pow c 3)))) (/ a c))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (+ (* -1 (/ (* a (pow c 3)) (pow d 2))) (* a c)) (pow d 2))>
#<alt (/ (- (+ (* a c) (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2))) (pow d 2))>
#<alt (/ (- (+ (* -1 (/ (* a (pow c 7)) (pow d 6))) (* a c)) (+ (* -1 (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2)))) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (+ (* -1 (/ (* a (pow c 3)) (pow d 2))) (* a c)) (pow d 2))>
#<alt (/ (- (+ (* a c) (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2))) (pow d 2))>
#<alt (/ (- (+ (* -1 (/ (* a (pow c 7)) (pow d 6))) (* a c)) (+ (* -1 (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2)))) (pow d 2))>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (pow c 2)>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (pow d 2)>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (pow d 2)>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (pow d 2)>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (pow c 2)>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (pow c 2)>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (/ b d)>
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))>
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))>
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))>
#<alt (/ (* a c) (pow d 2))>
#<alt (* c (+ (/ a (pow d 2)) (/ b (* c d))))>
#<alt (* c (+ (/ a (pow d 2)) (/ b (* c d))))>
#<alt (* c (+ (/ a (pow d 2)) (/ b (* c d))))>
#<alt (/ (* a c) (pow d 2))>
#<alt (* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))>
#<alt (* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))>
#<alt (* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))>
#<alt (/ b d)>
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))>
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))>
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))>
#<alt (/ (* a c) (pow d 2))>
#<alt (* a (+ (/ b (* a d)) (/ c (pow d 2))))>
#<alt (* a (+ (/ b (* a d)) (/ c (pow d 2))))>
#<alt (* a (+ (/ b (* a d)) (/ c (pow d 2))))>
#<alt (/ (* a c) (pow d 2))>
#<alt (* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))>
#<alt (* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))>
#<alt (* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (+ (* a c) (* b d)) (pow d 2))>
#<alt (/ (+ (* a c) (* b d)) (pow d 2))>
#<alt (/ (+ (* a c) (* b d)) (pow d 2))>
#<alt (/ b d)>
#<alt (/ (+ b (/ (* a c) d)) d)>
#<alt (/ (+ b (/ (* a c) d)) d)>
#<alt (/ (+ b (/ (* a c) d)) d)>
#<alt (/ b d)>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))>
#<alt (/ (* a c) (pow d 2))>
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))>
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))>
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))>
#<alt (/ b d)>
#<alt (* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))>
#<alt (* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))>
#<alt (* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))>
#<alt (/ b d)>
#<alt (* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))>
#<alt (* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))>
#<alt (* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))>
#<alt b>
#<alt (+ b (/ (* a c) d))>
#<alt (+ b (/ (* a c) d))>
#<alt (+ b (/ (* a c) d))>
#<alt (/ (* a c) d)>
#<alt (* c (+ (/ a d) (/ b c)))>
#<alt (* c (+ (/ a d) (/ b c)))>
#<alt (* c (+ (/ a d) (/ b c)))>
#<alt (/ (* a c) d)>
#<alt (* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))>
#<alt (* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))>
#<alt (* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))>
#<alt b>
#<alt (+ b (/ (* a c) d))>
#<alt (+ b (/ (* a c) d))>
#<alt (+ b (/ (* a c) d))>
#<alt (/ (* a c) d)>
#<alt (* a (+ (/ b a) (/ c d)))>
#<alt (* a (+ (/ b a) (/ c d)))>
#<alt (* a (+ (/ b a) (/ c d)))>
#<alt (/ (* a c) d)>
#<alt (* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))>
#<alt (* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))>
#<alt (* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))>
#<alt (/ (* a c) d)>
#<alt (/ (+ (* a c) (* b d)) d)>
#<alt (/ (+ (* a c) (* b d)) d)>
#<alt (/ (+ (* a c) (* b d)) d)>
#<alt b>
#<alt (+ b (/ (* a c) d))>
#<alt (+ b (/ (* a c) d))>
#<alt (+ b (/ (* a c) d))>
#<alt b>
#<alt (+ b (/ (* a c) d))>
#<alt (+ b (/ (* a c) d))>
#<alt (+ b (/ (* a c) d))>
#<alt (/ (* a c) d)>
#<alt (+ b (/ (* a c) d))>
#<alt (+ b (/ (* a c) d))>
#<alt (+ b (/ (* a c) d))>
#<alt b>
#<alt (* b (+ 1 (/ (* a c) (* b d))))>
#<alt (* b (+ 1 (/ (* a c) (* b d))))>
#<alt (* b (+ 1 (/ (* a c) (* b d))))>
#<alt b>
#<alt (* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1)))>
#<alt (* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1)))>
#<alt (* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1)))>
#<alt (/ a d)>
#<alt (/ a d)>
#<alt (/ a d)>
#<alt (/ a d)>
#<alt (/ a d)>
#<alt (/ a d)>
#<alt (/ a d)>
#<alt (/ a d)>
#<alt (/ a d)>
#<alt (/ a d)>
#<alt (/ a d)>
#<alt (/ a d)>
#<alt (/ a d)>
#<alt (/ a d)>
#<alt (/ a d)>
#<alt (/ a d)>
#<alt (/ a d)>
#<alt (/ a d)>
#<alt (/ a d)>
#<alt (/ a d)>
#<alt (/ a d)>
#<alt (/ a d)>
#<alt (/ a d)>
#<alt (/ a d)>
Calls

108 calls:

TimeVariablePointExpression
2.0ms
b
@0
(/ b c)
1.0ms
d
@-inf
(/ (+ (* c (/ a d)) b) d)
0.0ms
d
@inf
(/ (+ (* c (/ a d)) b) d)
0.0ms
c
@-inf
(/ (+ (* c (/ a d)) b) d)
0.0ms
a
@-inf
(/ (+ (* c (/ a d)) b) d)

rewrite377.0ms (3.6%)

Memory
-19.3MiB live, 499.8MiB allocated
Algorithm
batch-egg-rewrite
Rules
6 806×accelerator-lowering-fma.f32
6 806×accelerator-lowering-fma.f64
6 000×*-lowering-*.f32
6 000×*-lowering-*.f64
3 842×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02280
112878
291778
0879272
Stop Event
iter limit
node limit
Counts
14 → 726
Calls
Call 1
Inputs
(/ (+ (* (/ b c) d) a) c)
(+ (* (/ b c) d) a)
(/ b c)
(* (/ 1 c) a)
(/ 1 c)
(/ (* b d) (* c c))
(* b d)
(* c c)
(/ (* a c) (+ (* d d) (* c c)))
(* a c)
(+ (* d d) (* c c))
(/ (+ (* c (/ a d)) b) d)
(+ (* c (/ a d)) b)
(/ a d)
Outputs
(+.f64 (/.f64 a c) (/.f64 (*.f64 b d) (*.f64 c c)))
(+.f64 (/.f64 (*.f64 b d) (*.f64 c c)) (/.f64 a c))
(exp.f64 (*.f64 (log.f64 (/.f64 c (fma.f64 b (/.f64 d c) a))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (fma.f64 b (/.f64 d c) a) c)))
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c)) (-.f64 (/.f64 (*.f64 b d) c) a)) c) (/.f64 (/.f64 (*.f64 a a) (-.f64 (/.f64 (*.f64 b d) c) a)) c))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 c)) (neg.f64 (/.f64 (fma.f64 b (/.f64 d c) a) c)))
(-.f64 (/.f64 (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c)) (*.f64 c (-.f64 (/.f64 (*.f64 b d) c) a))) (/.f64 (*.f64 a a) (*.f64 c (-.f64 (/.f64 (*.f64 b d) c) a))))
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
(fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c))
(fma.f64 (/.f64 b c) (/.f64 (/.f64 d c) #s(literal 1 binary64)) (/.f64 a c))
(fma.f64 (/.f64 b c) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) c) d) #s(literal 1 binary64)) (/.f64 a c))
(fma.f64 d (/.f64 b (*.f64 c c)) (/.f64 a c))
(fma.f64 d (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) b) (/.f64 a c))
(fma.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 b c)) (/.f64 a c))
(fma.f64 d (*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) (*.f64 c c))) (/.f64 a c))
(fma.f64 (/.f64 (*.f64 b d) c) (/.f64 #s(literal 1 binary64) c) (/.f64 a c))
(fma.f64 (/.f64 (*.f64 b d) c) (/.f64 (/.f64 #s(literal 1 binary64) c) #s(literal 1 binary64)) (/.f64 a c))
(fma.f64 a (/.f64 #s(literal 1 binary64) c) (/.f64 (*.f64 b d) (*.f64 c c)))
(fma.f64 #s(literal 1 binary64) (/.f64 a c) (/.f64 (*.f64 b d) (*.f64 c c)))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 b d) (*.f64 c c)) (/.f64 a c))
(fma.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 (*.f64 b d) c) (/.f64 a c))
(fma.f64 (/.f64 #s(literal 1 binary64) c) a (/.f64 (*.f64 b d) (*.f64 c c)))
(fma.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 a #s(literal 1 binary64)) (/.f64 (*.f64 b d) (*.f64 c c)))
(fma.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 (/.f64 d c) (/.f64 #s(literal 1 binary64) b)) (/.f64 a c))
(fma.f64 (/.f64 a c) #s(literal 1 binary64) (/.f64 (*.f64 b d) (*.f64 c c)))
(fma.f64 (*.f64 b d) (/.f64 #s(literal 1 binary64) (*.f64 c c)) (/.f64 a c))
(fma.f64 (/.f64 (*.f64 b d) (*.f64 c c)) #s(literal 1 binary64) (/.f64 a c))
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 d (neg.f64 b)) (*.f64 c c)) (/.f64 a c))
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) c) a) (/.f64 (*.f64 b d) (*.f64 c c)))
(fma.f64 (*.f64 d (neg.f64 b)) (/.f64 #s(literal -1 binary64) (*.f64 c c)) (/.f64 a c))
(fma.f64 (neg.f64 b) (*.f64 (/.f64 #s(literal -1 binary64) c) (/.f64 d c)) (/.f64 a c))
(fma.f64 (neg.f64 b) (*.f64 d (/.f64 #s(literal -1 binary64) (*.f64 c c))) (/.f64 a c))
(fma.f64 (neg.f64 d) (*.f64 b (/.f64 #s(literal -1 binary64) (*.f64 c c))) (/.f64 a c))
(fma.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) c) (/.f64 (*.f64 b d) (*.f64 c c)))
(fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c))
(fma.f64 (/.f64 d c) (/.f64 (/.f64 b c) #s(literal 1 binary64)) (/.f64 a c))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) (*.f64 b d) (/.f64 a c))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 b d)) #s(literal -1 binary64)) (/.f64 a c))
(fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c))
(fma.f64 (/.f64 (*.f64 d (neg.f64 b)) c) (/.f64 #s(literal -1 binary64) c) (/.f64 a c))
(fma.f64 (/.f64 #s(literal -1 binary64) c) (/.f64 (*.f64 d (neg.f64 b)) c) (/.f64 a c))
(fma.f64 (pow.f64 c #s(literal -1/2 binary64)) (*.f64 (pow.f64 c #s(literal -1/2 binary64)) a) (/.f64 (*.f64 b d) (*.f64 c c)))
(fma.f64 (/.f64 (neg.f64 b) c) (/.f64 d (neg.f64 c)) (/.f64 a c))
(fma.f64 (/.f64 (neg.f64 b) c) (/.f64 (neg.f64 d) c) (/.f64 a c))
(fma.f64 (/.f64 b (*.f64 c c)) d (/.f64 a c))
(fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 d (neg.f64 b))) (/.f64 #s(literal -1 binary64) (*.f64 c c)) (/.f64 a c))
(fma.f64 (/.f64 d (neg.f64 c)) (/.f64 (neg.f64 b) c) (/.f64 a c))
(fma.f64 (/.f64 (neg.f64 d) c) (/.f64 (neg.f64 b) c) (/.f64 a c))
(fma.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 (neg.f64 d) (*.f64 c c)) (/.f64 a c))
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(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) d) #s(literal 1 binary64)) a)

simplify342.0ms (3.3%)

Memory
45.8MiB live, 627.9MiB allocated
Algorithm
egg-herbie
Rules
9 076×accelerator-lowering-fma.f32
9 076×accelerator-lowering-fma.f64
5 134×*-lowering-*.f32
5 134×*-lowering-*.f64
3 264×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02453222
17793198
224703164
371993134
084543004
Stop Event
iter limit
node limit
Counts
432 → 432
Calls
Call 1
Inputs
(/ a c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (/ a c) (/ (* b d) (pow c 2)))
(/ (* b d) (pow c 2))
(* b (+ (/ a (* b c)) (/ d (pow c 2))))
(* b (+ (/ a (* b c)) (/ d (pow c 2))))
(* b (+ (/ a (* b c)) (/ d (pow c 2))))
(/ (* b d) (pow c 2))
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))
(/ (* b d) (pow c 2))
(/ (+ (* a c) (* b d)) (pow c 2))
(/ (+ (* a c) (* b d)) (pow c 2))
(/ (+ (* a c) (* b d)) (pow c 2))
(/ a c)
(/ (+ a (/ (* b d) c)) c)
(/ (+ a (/ (* b d) c)) c)
(/ (+ a (/ (* b d) c)) c)
(/ a c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(/ a c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (/ a c) (/ (* b d) (pow c 2)))
(/ (* b d) (pow c 2))
(* d (+ (/ a (* c d)) (/ b (pow c 2))))
(* d (+ (/ a (* c d)) (/ b (pow c 2))))
(* d (+ (/ a (* c d)) (/ b (pow c 2))))
(/ (* b d) (pow c 2))
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))
(/ (* b d) (pow c 2))
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (/ a c) (/ (* b d) (pow c 2)))
(/ a c)
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))
(/ a c)
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))
a
(+ a (/ (* b d) c))
(+ a (/ (* b d) c))
(+ a (/ (* b d) c))
(/ (* b d) c)
(* b (+ (/ a b) (/ d c)))
(* b (+ (/ a b) (/ d c)))
(* b (+ (/ a b) (/ d c)))
(/ (* b d) c)
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c)))))
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c)))))
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c)))))
(/ (* b d) c)
(/ (+ (* a c) (* b d)) c)
(/ (+ (* a c) (* b d)) c)
(/ (+ (* a c) (* b d)) c)
a
(+ a (/ (* b d) c))
(+ a (/ (* b d) c))
(+ a (/ (* b d) c))
a
(+ a (/ (* b d) c))
(+ a (/ (* b d) c))
(+ a (/ (* b d) c))
a
(+ a (/ (* b d) c))
(+ a (/ (* b d) c))
(+ a (/ (* b d) c))
(/ (* b d) c)
(* d (+ (/ a d) (/ b c)))
(* d (+ (/ a d) (/ b c)))
(* d (+ (/ a d) (/ b c)))
(/ (* b d) c)
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(/ (* b d) c)
(+ a (/ (* b d) c))
(+ a (/ (* b d) c))
(+ a (/ (* b d) c))
a
(* a (+ 1 (/ (* b d) (* a c))))
(* a (+ 1 (/ (* b d) (* a c))))
(* a (+ 1 (/ (* b d) (* a c))))
a
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1)))
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1)))
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1)))
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ 1 c)
(/ 1 c)
(/ 1 c)
(/ 1 c)
(/ 1 c)
(/ 1 c)
(/ 1 c)
(/ 1 c)
(/ 1 c)
(/ 1 c)
(/ 1 c)
(/ 1 c)
(/ (* b d) (pow c 2))
(/ (* b d) (pow c 2))
(/ (* b d) (pow c 2))
(/ (* b d) (pow c 2))
(/ (* b d) (pow c 2))
(/ (* b d) (pow c 2))
(/ (* b d) (pow c 2))
(/ (* b d) (pow c 2))
(/ (* b d) (pow c 2))
(/ (* b d) (pow c 2))
(/ (* b d) (pow c 2))
(/ (* b d) (pow c 2))
(/ (* b d) (pow c 2))
(/ (* b d) (pow c 2))
(/ (* b d) (pow c 2))
(/ (* b d) (pow c 2))
(/ (* b d) (pow c 2))
(/ (* b d) (pow c 2))
(/ (* b d) (pow c 2))
(/ (* b d) (pow c 2))
(/ (* b d) (pow c 2))
(/ (* b d) (pow c 2))
(/ (* b d) (pow c 2))
(/ (* b d) (pow c 2))
(/ (* b d) (pow c 2))
(/ (* b d) (pow c 2))
(/ (* b d) (pow c 2))
(/ (* b d) (pow c 2))
(/ (* b d) (pow c 2))
(/ (* b d) (pow c 2))
(/ (* b d) (pow c 2))
(/ (* b d) (pow c 2))
(/ (* b d) (pow c 2))
(/ (* b d) (pow c 2))
(/ (* b d) (pow c 2))
(/ (* b d) (pow c 2))
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/ (* a c) (pow d 2))
(* c (+ (* -1 (/ (* a (pow c 2)) (pow d 4))) (/ a (pow d 2))))
(* c (+ (* (pow c 2) (- (/ (* a (pow c 2)) (pow d 6)) (/ a (pow d 4)))) (/ a (pow d 2))))
(* c (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* a (pow c 2)) (pow d 8))) (* -1 (/ a (pow d 6))))) (/ a (pow d 4)))) (/ a (pow d 2))))
(/ a c)
(/ (+ a (* -1 (/ (* a (pow d 2)) (pow c 2)))) c)
(/ (- (+ a (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2))) c)
(/ (- (+ a (* -1 (/ (* a (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2)))) c)
(/ a c)
(* -1 (/ (+ (* -1 a) (/ (* a (pow d 2)) (pow c 2))) c))
(* -1 (/ (+ (* -1 a) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2)))) c))
(* -1 (/ (+ (* -1 a) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (+ (/ (* a (pow d 2)) (pow c 2)) (/ (* a (pow d 6)) (pow c 6))))) c))
(/ a c)
(+ (* -1 (/ (* a (pow d 2)) (pow c 3))) (/ a c))
(+ (* (pow d 2) (- (/ (* a (pow d 2)) (pow c 5)) (/ a (pow c 3)))) (/ a c))
(+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* a (pow d 2)) (pow c 7))) (* -1 (/ a (pow c 5))))) (/ a (pow c 3)))) (/ a c))
(/ (* a c) (pow d 2))
(/ (+ (* -1 (/ (* a (pow c 3)) (pow d 2))) (* a c)) (pow d 2))
(/ (- (+ (* a c) (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2))) (pow d 2))
(/ (- (+ (* -1 (/ (* a (pow c 7)) (pow d 6))) (* a c)) (+ (* -1 (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2)))) (pow d 2))
(/ (* a c) (pow d 2))
(/ (+ (* -1 (/ (* a (pow c 3)) (pow d 2))) (* a c)) (pow d 2))
(/ (- (+ (* a c) (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2))) (pow d 2))
(/ (- (+ (* -1 (/ (* a (pow c 7)) (pow d 6))) (* a c)) (+ (* -1 (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2)))) (pow d 2))
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(pow c 2)
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(pow d 2)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(pow d 2)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(pow d 2)
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(pow c 2)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(pow c 2)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(/ b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (/ b d) (/ (* a c) (pow d 2)))
(/ (* a c) (pow d 2))
(* c (+ (/ a (pow d 2)) (/ b (* c d))))
(* c (+ (/ a (pow d 2)) (/ b (* c d))))
(* c (+ (/ a (pow d 2)) (/ b (* c d))))
(/ (* a c) (pow d 2))
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))
(/ b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (/ b d) (/ (* a c) (pow d 2)))
(/ (* a c) (pow d 2))
(* a (+ (/ b (* a d)) (/ c (pow d 2))))
(* a (+ (/ b (* a d)) (/ c (pow d 2))))
(* a (+ (/ b (* a d)) (/ c (pow d 2))))
(/ (* a c) (pow d 2))
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))
(/ (* a c) (pow d 2))
(/ (+ (* a c) (* b d)) (pow d 2))
(/ (+ (* a c) (* b d)) (pow d 2))
(/ (+ (* a c) (* b d)) (pow d 2))
(/ b d)
(/ (+ b (/ (* a c) d)) d)
(/ (+ b (/ (* a c) d)) d)
(/ (+ b (/ (* a c) d)) d)
(/ b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/ (* a c) (pow d 2))
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (/ b d) (/ (* a c) (pow d 2)))
(/ b d)
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))
(/ b d)
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))
b
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
(/ (* a c) d)
(* c (+ (/ a d) (/ b c)))
(* c (+ (/ a d) (/ b c)))
(* c (+ (/ a d) (/ b c)))
(/ (* a c) d)
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))
b
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
(/ (* a c) d)
(* a (+ (/ b a) (/ c d)))
(* a (+ (/ b a) (/ c d)))
(* a (+ (/ b a) (/ c d)))
(/ (* a c) d)
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))
(/ (* a c) d)
(/ (+ (* a c) (* b d)) d)
(/ (+ (* a c) (* b d)) d)
(/ (+ (* a c) (* b d)) d)
b
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
b
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
(/ (* a c) d)
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
b
(* b (+ 1 (/ (* a c) (* b d))))
(* b (+ 1 (/ (* a c) (* b d))))
(* b (+ 1 (/ (* a c) (* b d))))
b
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1)))
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1)))
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1)))
(/ a d)
(/ a d)
(/ a d)
(/ a d)
(/ a d)
(/ a d)
(/ a d)
(/ a d)
(/ a d)
(/ a d)
(/ a d)
(/ a d)
(/ a d)
(/ a d)
(/ a d)
(/ a d)
(/ a d)
(/ a d)
(/ a d)
(/ a d)
(/ a d)
(/ a d)
(/ a d)
(/ a d)
Outputs
(/ a c)
(/.f64 a c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(/ (* b d) (pow c 2))
(/.f64 (*.f64 b d) (*.f64 c c))
(* b (+ (/ a (* b c)) (/ d (pow c 2))))
(*.f64 b (+.f64 (/.f64 a (*.f64 c b)) (/.f64 d (*.f64 c c))))
(* b (+ (/ a (* b c)) (/ d (pow c 2))))
(*.f64 b (+.f64 (/.f64 a (*.f64 c b)) (/.f64 d (*.f64 c c))))
(* b (+ (/ a (* b c)) (/ d (pow c 2))))
(*.f64 b (+.f64 (/.f64 a (*.f64 c b)) (/.f64 d (*.f64 c c))))
(/ (* b d) (pow c 2))
(/.f64 (*.f64 b d) (*.f64 c c))
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))
(*.f64 b (+.f64 (/.f64 a (*.f64 c b)) (/.f64 d (*.f64 c c))))
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))
(*.f64 b (+.f64 (/.f64 a (*.f64 c b)) (/.f64 d (*.f64 c c))))
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))
(*.f64 b (+.f64 (/.f64 a (*.f64 c b)) (/.f64 d (*.f64 c c))))
(/ (* b d) (pow c 2))
(/.f64 (*.f64 b d) (*.f64 c c))
(/ (+ (* a c) (* b d)) (pow c 2))
(/.f64 (fma.f64 a c (*.f64 b d)) (*.f64 c c))
(/ (+ (* a c) (* b d)) (pow c 2))
(/.f64 (fma.f64 a c (*.f64 b d)) (*.f64 c c))
(/ (+ (* a c) (* b d)) (pow c 2))
(/.f64 (fma.f64 a c (*.f64 b d)) (*.f64 c c))
(/ a c)
(/.f64 a c)
(/ (+ a (/ (* b d) c)) c)
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(/ (+ a (/ (* b d) c)) c)
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(/ (+ a (/ (* b d) c)) c)
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(/ a c)
(/.f64 a c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(/ a c)
(/.f64 a c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(/ (* b d) (pow c 2))
(/.f64 (*.f64 b d) (*.f64 c c))
(* d (+ (/ a (* c d)) (/ b (pow c 2))))
(*.f64 d (+.f64 (/.f64 a (*.f64 c d)) (/.f64 b (*.f64 c c))))
(* d (+ (/ a (* c d)) (/ b (pow c 2))))
(*.f64 d (+.f64 (/.f64 a (*.f64 c d)) (/.f64 b (*.f64 c c))))
(* d (+ (/ a (* c d)) (/ b (pow c 2))))
(*.f64 d (+.f64 (/.f64 a (*.f64 c d)) (/.f64 b (*.f64 c c))))
(/ (* b d) (pow c 2))
(/.f64 (*.f64 b d) (*.f64 c c))
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))
(*.f64 d (+.f64 (/.f64 a (*.f64 c d)) (/.f64 b (*.f64 c c))))
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))
(*.f64 d (+.f64 (/.f64 a (*.f64 c d)) (/.f64 b (*.f64 c c))))
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))
(*.f64 d (+.f64 (/.f64 a (*.f64 c d)) (/.f64 b (*.f64 c c))))
(/ (* b d) (pow c 2))
(/.f64 (*.f64 b d) (*.f64 c c))
(+ (/ a c) (/ (* b d) (pow c 2)))
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(/ a c)
(/.f64 a c)
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))
(fma.f64 a (/.f64 (*.f64 b d) (*.f64 a (*.f64 c c))) (/.f64 a c))
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))
(fma.f64 a (/.f64 (*.f64 b d) (*.f64 a (*.f64 c c))) (/.f64 a c))
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))
(fma.f64 a (/.f64 (*.f64 b d) (*.f64 a (*.f64 c c))) (/.f64 a c))
(/ a c)
(/.f64 a c)
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))
(fma.f64 a (/.f64 (*.f64 b d) (*.f64 a (*.f64 c c))) (/.f64 a c))
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))
(fma.f64 a (/.f64 (*.f64 b d) (*.f64 a (*.f64 c c))) (/.f64 a c))
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))
(fma.f64 a (/.f64 (*.f64 b d) (*.f64 a (*.f64 c c))) (/.f64 a c))
a
(+ a (/ (* b d) c))
(fma.f64 b (/.f64 d c) a)
(+ a (/ (* b d) c))
(fma.f64 b (/.f64 d c) a)
(+ a (/ (* b d) c))
(fma.f64 b (/.f64 d c) a)
(/ (* b d) c)
(*.f64 d (/.f64 b c))
(* b (+ (/ a b) (/ d c)))
(*.f64 b (+.f64 (/.f64 a b) (/.f64 d c)))
(* b (+ (/ a b) (/ d c)))
(*.f64 b (+.f64 (/.f64 a b) (/.f64 d c)))
(* b (+ (/ a b) (/ d c)))
(*.f64 b (+.f64 (/.f64 a b) (/.f64 d c)))
(/ (* b d) c)
(*.f64 d (/.f64 b c))
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c)))))
(*.f64 b (+.f64 (/.f64 a b) (/.f64 d c)))
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c)))))
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(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 (*.f64 c c) (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal 1 binary64)))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 (*.f64 c c) (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal 1 binary64)))
(/ b d)
(/.f64 b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(/ (* a c) (pow d 2))
(*.f64 a (/.f64 c (*.f64 d d)))
(* c (+ (/ a (pow d 2)) (/ b (* c d))))
(*.f64 c (+.f64 (/.f64 a (*.f64 d d)) (/.f64 b (*.f64 c d))))
(* c (+ (/ a (pow d 2)) (/ b (* c d))))
(*.f64 c (+.f64 (/.f64 a (*.f64 d d)) (/.f64 b (*.f64 c d))))
(* c (+ (/ a (pow d 2)) (/ b (* c d))))
(*.f64 c (+.f64 (/.f64 a (*.f64 d d)) (/.f64 b (*.f64 c d))))
(/ (* a c) (pow d 2))
(*.f64 a (/.f64 c (*.f64 d d)))
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))
(*.f64 c (+.f64 (/.f64 a (*.f64 d d)) (/.f64 b (*.f64 c d))))
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))
(*.f64 c (+.f64 (/.f64 a (*.f64 d d)) (/.f64 b (*.f64 c d))))
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))
(*.f64 c (+.f64 (/.f64 a (*.f64 d d)) (/.f64 b (*.f64 c d))))
(/ b d)
(/.f64 b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(/ (* a c) (pow d 2))
(*.f64 a (/.f64 c (*.f64 d d)))
(* a (+ (/ b (* a d)) (/ c (pow d 2))))
(*.f64 a (+.f64 (/.f64 b (*.f64 a d)) (/.f64 c (*.f64 d d))))
(* a (+ (/ b (* a d)) (/ c (pow d 2))))
(*.f64 a (+.f64 (/.f64 b (*.f64 a d)) (/.f64 c (*.f64 d d))))
(* a (+ (/ b (* a d)) (/ c (pow d 2))))
(*.f64 a (+.f64 (/.f64 b (*.f64 a d)) (/.f64 c (*.f64 d d))))
(/ (* a c) (pow d 2))
(*.f64 a (/.f64 c (*.f64 d d)))
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))
(*.f64 a (+.f64 (/.f64 b (*.f64 a d)) (/.f64 c (*.f64 d d))))
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))
(*.f64 a (+.f64 (/.f64 b (*.f64 a d)) (/.f64 c (*.f64 d d))))
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))
(*.f64 a (+.f64 (/.f64 b (*.f64 a d)) (/.f64 c (*.f64 d d))))
(/ (* a c) (pow d 2))
(*.f64 a (/.f64 c (*.f64 d d)))
(/ (+ (* a c) (* b d)) (pow d 2))
(/.f64 (fma.f64 a c (*.f64 b d)) (*.f64 d d))
(/ (+ (* a c) (* b d)) (pow d 2))
(/.f64 (fma.f64 a c (*.f64 b d)) (*.f64 d d))
(/ (+ (* a c) (* b d)) (pow d 2))
(/.f64 (fma.f64 a c (*.f64 b d)) (*.f64 d d))
(/ b d)
(/.f64 b d)
(/ (+ b (/ (* a c) d)) d)
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(/ (+ b (/ (* a c) d)) d)
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(/ (+ b (/ (* a c) d)) d)
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(/ b d)
(/.f64 b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(/ (* a c) (pow d 2))
(*.f64 a (/.f64 c (*.f64 d d)))
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(/ b d)
(/.f64 b d)
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))
(fma.f64 a (/.f64 (*.f64 c b) (*.f64 b (*.f64 d d))) (/.f64 b d))
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))
(fma.f64 a (/.f64 (*.f64 c b) (*.f64 b (*.f64 d d))) (/.f64 b d))
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))
(fma.f64 a (/.f64 (*.f64 c b) (*.f64 b (*.f64 d d))) (/.f64 b d))
(/ b d)
(/.f64 b d)
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))
(fma.f64 a (/.f64 (*.f64 c b) (*.f64 b (*.f64 d d))) (/.f64 b d))
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))
(fma.f64 a (/.f64 (*.f64 c b) (*.f64 b (*.f64 d d))) (/.f64 b d))
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))
(fma.f64 a (/.f64 (*.f64 c b) (*.f64 b (*.f64 d d))) (/.f64 b d))
b
(+ b (/ (* a c) d))
(fma.f64 a (/.f64 c d) b)
(+ b (/ (* a c) d))
(fma.f64 a (/.f64 c d) b)
(+ b (/ (* a c) d))
(fma.f64 a (/.f64 c d) b)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(* c (+ (/ a d) (/ b c)))
(*.f64 c (+.f64 (/.f64 a d) (/.f64 b c)))
(* c (+ (/ a d) (/ b c)))
(*.f64 c (+.f64 (/.f64 a d) (/.f64 b c)))
(* c (+ (/ a d) (/ b c)))
(*.f64 c (+.f64 (/.f64 a d) (/.f64 b c)))
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(*.f64 c (+.f64 (/.f64 a d) (/.f64 b c)))
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(*.f64 c (+.f64 (/.f64 a d) (/.f64 b c)))
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(*.f64 c (+.f64 (/.f64 a d) (/.f64 b c)))
b
(+ b (/ (* a c) d))
(fma.f64 a (/.f64 c d) b)
(+ b (/ (* a c) d))
(fma.f64 a (/.f64 c d) b)
(+ b (/ (* a c) d))
(fma.f64 a (/.f64 c d) b)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(* a (+ (/ b a) (/ c d)))
(*.f64 a (+.f64 (/.f64 b a) (/.f64 c d)))
(* a (+ (/ b a) (/ c d)))
(*.f64 a (+.f64 (/.f64 b a) (/.f64 c d)))
(* a (+ (/ b a) (/ c d)))
(*.f64 a (+.f64 (/.f64 b a) (/.f64 c d)))
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))
(*.f64 a (+.f64 (/.f64 b a) (/.f64 c d)))
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))
(*.f64 a (+.f64 (/.f64 b a) (/.f64 c d)))
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))
(*.f64 a (+.f64 (/.f64 b a) (/.f64 c d)))
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(/ (+ (* a c) (* b d)) d)
(/.f64 (fma.f64 a c (*.f64 b d)) d)
(/ (+ (* a c) (* b d)) d)
(/.f64 (fma.f64 a c (*.f64 b d)) d)
(/ (+ (* a c) (* b d)) d)
(/.f64 (fma.f64 a c (*.f64 b d)) d)
b
(+ b (/ (* a c) d))
(fma.f64 a (/.f64 c d) b)
(+ b (/ (* a c) d))
(fma.f64 a (/.f64 c d) b)
(+ b (/ (* a c) d))
(fma.f64 a (/.f64 c d) b)
b
(+ b (/ (* a c) d))
(fma.f64 a (/.f64 c d) b)
(+ b (/ (* a c) d))
(fma.f64 a (/.f64 c d) b)
(+ b (/ (* a c) d))
(fma.f64 a (/.f64 c d) b)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(+ b (/ (* a c) d))
(fma.f64 a (/.f64 c d) b)
(+ b (/ (* a c) d))
(fma.f64 a (/.f64 c d) b)
(+ b (/ (* a c) d))
(fma.f64 a (/.f64 c d) b)
b
(* b (+ 1 (/ (* a c) (* b d))))
(fma.f64 a (*.f64 (/.f64 c (*.f64 b d)) b) b)
(* b (+ 1 (/ (* a c) (* b d))))
(fma.f64 a (*.f64 (/.f64 c (*.f64 b d)) b) b)
(* b (+ 1 (/ (* a c) (* b d))))
(fma.f64 a (*.f64 (/.f64 c (*.f64 b d)) b) b)
b
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1)))
(*.f64 (neg.f64 b) (-.f64 #s(literal -1 binary64) (*.f64 a (/.f64 c (*.f64 b d)))))
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1)))
(*.f64 (neg.f64 b) (-.f64 #s(literal -1 binary64) (*.f64 a (/.f64 c (*.f64 b d)))))
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1)))
(*.f64 (neg.f64 b) (-.f64 #s(literal -1 binary64) (*.f64 a (/.f64 c (*.f64 b d)))))
(/ a d)
(/.f64 a d)
(/ a d)
(/.f64 a d)
(/ a d)
(/.f64 a d)
(/ a d)
(/.f64 a d)
(/ a d)
(/.f64 a d)
(/ a d)
(/.f64 a d)
(/ a d)
(/.f64 a d)
(/ a d)
(/.f64 a d)
(/ a d)
(/.f64 a d)
(/ a d)
(/.f64 a d)
(/ a d)
(/.f64 a d)
(/ a d)
(/.f64 a d)
(/ a d)
(/.f64 a d)
(/ a d)
(/.f64 a d)
(/ a d)
(/.f64 a d)
(/ a d)
(/.f64 a d)
(/ a d)
(/.f64 a d)
(/ a d)
(/.f64 a d)
(/ a d)
(/.f64 a d)
(/ a d)
(/.f64 a d)
(/ a d)
(/.f64 a d)
(/ a d)
(/.f64 a d)
(/ a d)
(/.f64 a d)
(/ a d)
(/.f64 a d)

eval143.0ms (1.4%)

Memory
30.9MiB live, 323.4MiB allocated
Compiler

Compiled 20 960 to 1 951 computations (90.7% saved)

prune177.0ms (1.7%)

Memory
-42.8MiB live, 281.6MiB allocated
Pruning

26 alts after pruning (17 fresh and 9 done)

PrunedKeptTotal
New1 18081 188
Fresh6915
Picked145
Done055
Total1 187261 213
Accuracy
99.2%
Counts
1 213 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
41.5%
(fma.f64 c (fma.f64 (/.f64 (/.f64 b d) d) (/.f64 (neg.f64 c) d) (/.f64 a (*.f64 d d))) (/.f64 b d))
49.6%
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
49.0%
(/.f64 (fma.f64 (/.f64 c d) a b) d)
26.9%
(/.f64 (fma.f64 (exp.f64 (*.f64 (log.f64 (/.f64 c b)) #s(literal -1 binary64))) d a) c)
48.4%
(/.f64 (fma.f64 c (/.f64 a d) b) d)
56.7%
(/.f64 (fma.f64 b (/.f64 d c) a) c)
35.5%
(/.f64 (fma.f64 b d (*.f64 c a)) (*.f64 c c))
23.6%
(/.f64 (/.f64 (*.f64 b d) c) c)
18.9%
(/.f64 (/.f64 (*.f64 a c) d) d)
52.8%
(/.f64 (+.f64 (/.f64 (*.f64 d (fma.f64 d (/.f64 (neg.f64 a) c) b)) c) a) c)
19.1%
(/.f64 (*.f64 b d) (*.f64 c c))
40.2%
(/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))
18.1%
(/.f64 (*.f64 a c) (*.f64 d d))
21.9%
(/.f64 b (*.f64 (/.f64 c d) c))
39.3%
(/.f64 b d)
44.0%
(/.f64 a c)
40.2%
(/.f64 #s(literal 1 binary64) (fma.f64 c (fma.f64 c (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b d)) (/.f64 (*.f64 a a) (*.f64 b (*.f64 b (*.f64 b d))))) (/.f64 a (*.f64 (neg.f64 b) b))) (/.f64 d b)))
39.1%
(/.f64 #s(literal 1 binary64) (/.f64 d b))
18.6%
(*.f64 (/.f64 d (*.f64 c c)) b)
24.3%
(*.f64 (/.f64 d c) (/.f64 b c))
39.2%
(*.f64 (/.f64 #s(literal 1 binary64) d) b)
43.9%
(*.f64 (/.f64 #s(literal 1 binary64) c) (pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64)))
43.9%
(*.f64 (/.f64 #s(literal 1 binary64) c) a)
22.6%
(*.f64 (exp.f64 (*.f64 (log.f64 c) #s(literal -1 binary64))) a)
41.9%
(*.f64 c (/.f64 a (fma.f64 d d (*.f64 c c))))
18.6%
(*.f64 a (/.f64 c (*.f64 d d)))
Compiler

Compiled 889 to 366 computations (58.8% saved)

regimes160.0ms (1.5%)

Memory
-34.2MiB live, 123.0MiB allocated
Counts
49 → 5
Calls
Call 1
Inputs
(/.f64 a c)
(/.f64 b d)
(*.f64 (/.f64 #s(literal 1 binary64) c) a)
(*.f64 (/.f64 #s(literal 1 binary64) d) b)
(*.f64 a (/.f64 c (*.f64 d d)))
(*.f64 b (/.f64 d (*.f64 c c)))
(*.f64 (/.f64 d (*.f64 c c)) b)
(/.f64 (*.f64 a c) (*.f64 d d))
(/.f64 (*.f64 b d) (*.f64 c c))
(/.f64 (*.f64 b d) (*.f64 d d))
(/.f64 #s(literal 1 binary64) (/.f64 d b))
(*.f64 c (/.f64 a (fma.f64 d d (*.f64 c c))))
(*.f64 (/.f64 d c) (/.f64 b c))
(*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) d))
(/.f64 b (*.f64 (/.f64 c d) c))
(/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))
(/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c)))
(/.f64 (/.f64 (*.f64 a c) d) d)
(/.f64 (/.f64 (*.f64 b d) c) c)
(/.f64 (fma.f64 b d (*.f64 a c)) (*.f64 c c))
(/.f64 (fma.f64 b d (*.f64 c a)) (*.f64 c c))
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(/.f64 (fma.f64 (/.f64 b c) d a) c)
(/.f64 (fma.f64 (/.f64 c d) a b) d)
(*.f64 (fma.f64 d (/.f64 b c) a) (/.f64 #s(literal 1 binary64) c))
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 a c)))
(fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d))))
(fma.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 (*.f64 d b) c) (/.f64 a c))
(/.f64 (+.f64 (/.f64 (*.f64 d (fma.f64 d (/.f64 (neg.f64 a) c) b)) c) a) c)
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a c (*.f64 b d))) (neg.f64 (fma.f64 c c (*.f64 d d)))))
(/.f64 (+.f64 a (/.f64 (fma.f64 d (/.f64 (*.f64 d (neg.f64 a)) c) (*.f64 b d)) c)) c)
(*.f64 (*.f64 c c) (-.f64 (/.f64 a (*.f64 d (*.f64 d c))) (/.f64 b (*.f64 d (*.f64 d d)))))
(fma.f64 a (/.f64 c (fma.f64 d d (*.f64 c c))) (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
(fma.f64 c (fma.f64 (neg.f64 c) (/.f64 b (*.f64 d (*.f64 d d))) (/.f64 a (*.f64 d d))) (/.f64 b d))
(fma.f64 c (fma.f64 (neg.f64 c) (/.f64 b (*.f64 d (*.f64 d d))) (/.f64 (/.f64 a d) d)) (/.f64 b d))
(fma.f64 c (fma.f64 (/.f64 (/.f64 b d) d) (/.f64 (neg.f64 c) d) (/.f64 a (*.f64 d d))) (/.f64 b d))
(/.f64 #s(literal 1 binary64) (fma.f64 c (fma.f64 c (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b d)) (/.f64 (*.f64 a a) (*.f64 b (*.f64 b (*.f64 b d))))) (/.f64 a (*.f64 (neg.f64 b) b))) (/.f64 d b)))
(*.f64 (/.f64 #s(literal 1 binary64) c) (pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64)))
(fma.f64 c (-.f64 (/.f64 a (*.f64 d d)) (*.f64 (fma.f64 a (/.f64 c (pow.f64 d #s(literal 4 binary64))) (/.f64 b (*.f64 d (*.f64 d d)))) c)) (/.f64 b d))
(*.f64 (exp.f64 (*.f64 (log.f64 c) #s(literal -1 binary64))) a)
(/.f64 (fma.f64 (exp.f64 (*.f64 (log.f64 (/.f64 c b)) #s(literal -1 binary64))) d a) c)
(pow.f64 (pow.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c c (*.f64 d d))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
Outputs
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(fma.f64 a (/.f64 c (fma.f64 d d (*.f64 c c))) (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(fma.f64 a (/.f64 c (fma.f64 d d (*.f64 c c))) (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
(/.f64 (fma.f64 b (/.f64 d c) a) c)
Calls

5 calls:

100.0ms
b
16.0ms
d
14.0ms
c
14.0ms
a
13.0ms
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Results
AccuracySegmentsBranch
71.1%5a
72.1%4b
86.9%5c
86.7%5d
74.7%2(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Compiler

Compiled 39 to 27 computations (30.8% saved)

regimes24.0ms (0.2%)

Memory
6.1MiB live, 44.4MiB allocated
Counts
39 → 5
Calls
Call 1
Inputs
(/.f64 a c)
(/.f64 b d)
(*.f64 (/.f64 #s(literal 1 binary64) c) a)
(*.f64 (/.f64 #s(literal 1 binary64) d) b)
(*.f64 a (/.f64 c (*.f64 d d)))
(*.f64 b (/.f64 d (*.f64 c c)))
(*.f64 (/.f64 d (*.f64 c c)) b)
(/.f64 (*.f64 a c) (*.f64 d d))
(/.f64 (*.f64 b d) (*.f64 c c))
(/.f64 (*.f64 b d) (*.f64 d d))
(/.f64 #s(literal 1 binary64) (/.f64 d b))
(*.f64 c (/.f64 a (fma.f64 d d (*.f64 c c))))
(*.f64 (/.f64 d c) (/.f64 b c))
(*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) d))
(/.f64 b (*.f64 (/.f64 c d) c))
(/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))
(/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c)))
(/.f64 (/.f64 (*.f64 a c) d) d)
(/.f64 (/.f64 (*.f64 b d) c) c)
(/.f64 (fma.f64 b d (*.f64 a c)) (*.f64 c c))
(/.f64 (fma.f64 b d (*.f64 c a)) (*.f64 c c))
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(/.f64 (fma.f64 (/.f64 b c) d a) c)
(/.f64 (fma.f64 (/.f64 c d) a b) d)
(*.f64 (fma.f64 d (/.f64 b c) a) (/.f64 #s(literal 1 binary64) c))
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 a c)))
(fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d))))
(fma.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 (*.f64 d b) c) (/.f64 a c))
(/.f64 (+.f64 (/.f64 (*.f64 d (fma.f64 d (/.f64 (neg.f64 a) c) b)) c) a) c)
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a c (*.f64 b d))) (neg.f64 (fma.f64 c c (*.f64 d d)))))
(/.f64 (+.f64 a (/.f64 (fma.f64 d (/.f64 (*.f64 d (neg.f64 a)) c) (*.f64 b d)) c)) c)
(*.f64 (*.f64 c c) (-.f64 (/.f64 a (*.f64 d (*.f64 d c))) (/.f64 b (*.f64 d (*.f64 d d)))))
Outputs
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(fma.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 (*.f64 d b) c) (/.f64 a c))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (fma.f64 c (/.f64 a d) b) d)
Calls

2 calls:

12.0ms
d
11.0ms
c
Results
AccuracySegmentsBranch
85.9%5d
85.1%5c
Compiler

Compiled 10 to 8 computations (20% saved)

regimes11.0ms (0.1%)

Memory
18.0MiB live, 18.0MiB allocated
Counts
34 → 5
Calls
Call 1
Inputs
(/.f64 a c)
(/.f64 b d)
(*.f64 (/.f64 #s(literal 1 binary64) c) a)
(*.f64 (/.f64 #s(literal 1 binary64) d) b)
(*.f64 a (/.f64 c (*.f64 d d)))
(*.f64 b (/.f64 d (*.f64 c c)))
(*.f64 (/.f64 d (*.f64 c c)) b)
(/.f64 (*.f64 a c) (*.f64 d d))
(/.f64 (*.f64 b d) (*.f64 c c))
(/.f64 (*.f64 b d) (*.f64 d d))
(/.f64 #s(literal 1 binary64) (/.f64 d b))
(*.f64 c (/.f64 a (fma.f64 d d (*.f64 c c))))
(*.f64 (/.f64 d c) (/.f64 b c))
(*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) d))
(/.f64 b (*.f64 (/.f64 c d) c))
(/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))
(/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c)))
(/.f64 (/.f64 (*.f64 a c) d) d)
(/.f64 (/.f64 (*.f64 b d) c) c)
(/.f64 (fma.f64 b d (*.f64 a c)) (*.f64 c c))
(/.f64 (fma.f64 b d (*.f64 c a)) (*.f64 c c))
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(/.f64 (fma.f64 (/.f64 b c) d a) c)
(/.f64 (fma.f64 (/.f64 c d) a b) d)
(*.f64 (fma.f64 d (/.f64 b c) a) (/.f64 #s(literal 1 binary64) c))
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 a c)))
(fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d))))
Outputs
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (fma.f64 c (/.f64 a d) b) d)
Calls

1 calls:

10.0ms
d
Results
AccuracySegmentsBranch
85.7%5d
Compiler

Compiled 5 to 4 computations (20% saved)

regimes21.0ms (0.2%)

Memory
-13.4MiB live, 28.6MiB allocated
Counts
30 → 3
Calls
Call 1
Inputs
(/.f64 a c)
(/.f64 b d)
(*.f64 (/.f64 #s(literal 1 binary64) c) a)
(*.f64 (/.f64 #s(literal 1 binary64) d) b)
(*.f64 a (/.f64 c (*.f64 d d)))
(*.f64 b (/.f64 d (*.f64 c c)))
(*.f64 (/.f64 d (*.f64 c c)) b)
(/.f64 (*.f64 a c) (*.f64 d d))
(/.f64 (*.f64 b d) (*.f64 c c))
(/.f64 (*.f64 b d) (*.f64 d d))
(/.f64 #s(literal 1 binary64) (/.f64 d b))
(*.f64 c (/.f64 a (fma.f64 d d (*.f64 c c))))
(*.f64 (/.f64 d c) (/.f64 b c))
(*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) d))
(/.f64 b (*.f64 (/.f64 c d) c))
(/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))
(/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c)))
(/.f64 (/.f64 (*.f64 a c) d) d)
(/.f64 (/.f64 (*.f64 b d) c) c)
(/.f64 (fma.f64 b d (*.f64 a c)) (*.f64 c c))
(/.f64 (fma.f64 b d (*.f64 c a)) (*.f64 c c))
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(/.f64 (fma.f64 (/.f64 b c) d a) c)
(/.f64 (fma.f64 (/.f64 c d) a b) d)
(*.f64 (fma.f64 d (/.f64 b c) a) (/.f64 #s(literal 1 binary64) c))
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
Outputs
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(/.f64 (fma.f64 c (/.f64 a d) b) d)
Calls

2 calls:

11.0ms
c
9.0ms
d
Results
AccuracySegmentsBranch
79.0%3c
80.3%3d
Compiler

Compiled 10 to 8 computations (20% saved)

regimes8.0ms (0.1%)

Memory
14.2MiB live, 14.2MiB allocated
Counts
24 → 3
Calls
Call 1
Inputs
(/.f64 a c)
(/.f64 b d)
(*.f64 (/.f64 #s(literal 1 binary64) c) a)
(*.f64 (/.f64 #s(literal 1 binary64) d) b)
(*.f64 a (/.f64 c (*.f64 d d)))
(*.f64 b (/.f64 d (*.f64 c c)))
(*.f64 (/.f64 d (*.f64 c c)) b)
(/.f64 (*.f64 a c) (*.f64 d d))
(/.f64 (*.f64 b d) (*.f64 c c))
(/.f64 (*.f64 b d) (*.f64 d d))
(/.f64 #s(literal 1 binary64) (/.f64 d b))
(*.f64 c (/.f64 a (fma.f64 d d (*.f64 c c))))
(*.f64 (/.f64 d c) (/.f64 b c))
(*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) d))
(/.f64 b (*.f64 (/.f64 c d) c))
(/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))
(/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c)))
(/.f64 (/.f64 (*.f64 a c) d) d)
(/.f64 (/.f64 (*.f64 b d) c) c)
(/.f64 (fma.f64 b d (*.f64 a c)) (*.f64 c c))
(/.f64 (fma.f64 b d (*.f64 c a)) (*.f64 c c))
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(/.f64 (fma.f64 b (/.f64 d c) a) c)
Outputs
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(/.f64 (fma.f64 a (/.f64 c d) b) d)
Calls

1 calls:

7.0ms
d
Results
AccuracySegmentsBranch
80.2%3d
Compiler

Compiled 5 to 4 computations (20% saved)

regimes22.0ms (0.2%)

Memory
-3.9MiB live, 35.4MiB allocated
Counts
23 → 3
Calls
Call 1
Inputs
(/.f64 a c)
(/.f64 b d)
(*.f64 (/.f64 #s(literal 1 binary64) c) a)
(*.f64 (/.f64 #s(literal 1 binary64) d) b)
(*.f64 a (/.f64 c (*.f64 d d)))
(*.f64 b (/.f64 d (*.f64 c c)))
(*.f64 (/.f64 d (*.f64 c c)) b)
(/.f64 (*.f64 a c) (*.f64 d d))
(/.f64 (*.f64 b d) (*.f64 c c))
(/.f64 (*.f64 b d) (*.f64 d d))
(/.f64 #s(literal 1 binary64) (/.f64 d b))
(*.f64 c (/.f64 a (fma.f64 d d (*.f64 c c))))
(*.f64 (/.f64 d c) (/.f64 b c))
(*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) d))
(/.f64 b (*.f64 (/.f64 c d) c))
(/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))
(/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c)))
(/.f64 (/.f64 (*.f64 a c) d) d)
(/.f64 (/.f64 (*.f64 b d) c) c)
(/.f64 (fma.f64 b d (*.f64 a c)) (*.f64 c c))
(/.f64 (fma.f64 b d (*.f64 c a)) (*.f64 c c))
(/.f64 (fma.f64 a (/.f64 c d) b) d)
Outputs
(/.f64 a c)
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(/.f64 a c)
Calls

3 calls:

8.0ms
c
7.0ms
d
6.0ms
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Results
AccuracySegmentsBranch
60.1%4(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
71.1%3c
71.9%4d
Compiler

Compiled 29 to 19 computations (34.5% saved)

regimes29.0ms (0.3%)

Memory
5.0MiB live, 44.0MiB allocated
Counts
22 → 4
Calls
Call 1
Inputs
(/.f64 a c)
(/.f64 b d)
(*.f64 (/.f64 #s(literal 1 binary64) c) a)
(*.f64 (/.f64 #s(literal 1 binary64) d) b)
(*.f64 a (/.f64 c (*.f64 d d)))
(*.f64 b (/.f64 d (*.f64 c c)))
(*.f64 (/.f64 d (*.f64 c c)) b)
(/.f64 (*.f64 a c) (*.f64 d d))
(/.f64 (*.f64 b d) (*.f64 c c))
(/.f64 (*.f64 b d) (*.f64 d d))
(/.f64 #s(literal 1 binary64) (/.f64 d b))
(*.f64 c (/.f64 a (fma.f64 d d (*.f64 c c))))
(*.f64 (/.f64 d c) (/.f64 b c))
(*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) d))
(/.f64 b (*.f64 (/.f64 c d) c))
(/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))
(/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c)))
(/.f64 (/.f64 (*.f64 a c) d) d)
(/.f64 (/.f64 (*.f64 b d) c) c)
(/.f64 (fma.f64 b d (*.f64 a c)) (*.f64 c c))
(/.f64 (fma.f64 b d (*.f64 c a)) (*.f64 c c))
Outputs
(/.f64 a c)
(/.f64 (fma.f64 b d (*.f64 a c)) (*.f64 c c))
(/.f64 b d)
(/.f64 a c)
Calls

4 calls:

8.0ms
b
7.0ms
a
6.0ms
d
6.0ms
c
Results
AccuracySegmentsBranch
54.9%3a
67.1%4d
60.6%5b
67.2%4c
Compiler

Compiled 20 to 16 computations (20% saved)

regimes13.0ms (0.1%)

Memory
13.8MiB live, 13.8MiB allocated
Counts
20 → 4
Calls
Call 1
Inputs
(/.f64 a c)
(/.f64 b d)
(*.f64 (/.f64 #s(literal 1 binary64) c) a)
(*.f64 (/.f64 #s(literal 1 binary64) d) b)
(*.f64 a (/.f64 c (*.f64 d d)))
(*.f64 b (/.f64 d (*.f64 c c)))
(*.f64 (/.f64 d (*.f64 c c)) b)
(/.f64 (*.f64 a c) (*.f64 d d))
(/.f64 (*.f64 b d) (*.f64 c c))
(/.f64 (*.f64 b d) (*.f64 d d))
(/.f64 #s(literal 1 binary64) (/.f64 d b))
(*.f64 c (/.f64 a (fma.f64 d d (*.f64 c c))))
(*.f64 (/.f64 d c) (/.f64 b c))
(*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) d))
(/.f64 b (*.f64 (/.f64 c d) c))
(/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))
(/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c)))
(/.f64 (/.f64 (*.f64 a c) d) d)
(/.f64 (/.f64 (*.f64 b d) c) c)
Outputs
(/.f64 b d)
(/.f64 a c)
(*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b)
(/.f64 b d)
Calls

2 calls:

6.0ms
d
6.0ms
c
Results
AccuracySegmentsBranch
67.1%4d
66.4%4c
Compiler

Compiled 10 to 8 computations (20% saved)

regimes14.0ms (0.1%)

Memory
-27.9MiB live, 10.9MiB allocated
Counts
13 → 4
Calls
Call 1
Inputs
(/.f64 a c)
(/.f64 b d)
(*.f64 (/.f64 #s(literal 1 binary64) c) a)
(*.f64 (/.f64 #s(literal 1 binary64) d) b)
(*.f64 a (/.f64 c (*.f64 d d)))
(*.f64 b (/.f64 d (*.f64 c c)))
(*.f64 (/.f64 d (*.f64 c c)) b)
(/.f64 (*.f64 a c) (*.f64 d d))
(/.f64 (*.f64 b d) (*.f64 c c))
(/.f64 (*.f64 b d) (*.f64 d d))
(/.f64 #s(literal 1 binary64) (/.f64 d b))
(*.f64 c (/.f64 a (fma.f64 d d (*.f64 c c))))
(*.f64 (/.f64 d c) (/.f64 b c))
Outputs
(/.f64 a c)
(*.f64 c (/.f64 a (fma.f64 d d (*.f64 c c))))
(/.f64 b d)
(/.f64 a c)
Calls

2 calls:

4.0ms
d
4.0ms
c
Results
AccuracySegmentsBranch
66.4%4c
64.8%3d
Compiler

Compiled 10 to 8 computations (20% saved)

regimes8.0ms (0.1%)

Memory
9.4MiB live, 9.4MiB allocated
Counts
11 → 3
Calls
Call 1
Inputs
(/.f64 a c)
(/.f64 b d)
(*.f64 (/.f64 #s(literal 1 binary64) c) a)
(*.f64 (/.f64 #s(literal 1 binary64) d) b)
(*.f64 a (/.f64 c (*.f64 d d)))
(*.f64 b (/.f64 d (*.f64 c c)))
(*.f64 (/.f64 d (*.f64 c c)) b)
(/.f64 (*.f64 a c) (*.f64 d d))
(/.f64 (*.f64 b d) (*.f64 c c))
(/.f64 (*.f64 b d) (*.f64 d d))
(/.f64 #s(literal 1 binary64) (/.f64 d b))
Outputs
(/.f64 b d)
(/.f64 a c)
(/.f64 b d)
Calls

2 calls:

4.0ms
c
4.0ms
d
Results
AccuracySegmentsBranch
64.8%3d
64.6%3c
Compiler

Compiled 10 to 8 computations (20% saved)

regimes6.0ms (0.1%)

Memory
10.5MiB live, 10.5MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(/.f64 a c)
Outputs
(/.f64 a c)
Calls

5 calls:

1.0ms
c
1.0ms
b
1.0ms
d
1.0ms
a
1.0ms
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Results
AccuracySegmentsBranch
44.0%1a
44.0%1b
44.0%1(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
44.0%1c
44.0%1d
Compiler

Compiled 39 to 27 computations (30.8% saved)

bsearch54.0ms (0.5%)

Memory
-18.1MiB live, 60.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
11.0ms
1.2086787884789748e+154
6.737035628782071e+154
12.0ms
5.2743129483159174e-179
1.2528749234700925e-174
17.0ms
-2.8719350834272583e-58
-1.8424845824129613e-69
9.0ms
-8.475475571111431e+147
-1.7409628939253026e+147
Samples
34.0ms480×0valid
Compiler

Compiled 1 162 to 588 computations (49.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-mult: 14.0ms (67.9% of total)
ival-add: 4.0ms (19.4% of total)
ival-div: 3.0ms (14.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch62.0ms (0.6%)

Memory
20.9MiB live, 95.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
1.846737168324842e+140
1.4931282131663912e+145
15.0ms
1.1981082056060834e-97
1.5387964271366064e-78
13.0ms
-2.227813179689186e-9
-2.3152827286949723e-11
14.0ms
-7.464612528255224e+146
-1.2146146866778807e+139
Samples
40.0ms560×0valid
Compiler

Compiled 1 245 to 769 computations (38.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-mult: 15.0ms (63.5% of total)
ival-add: 4.0ms (16.9% of total)
ival-div: 3.0ms (12.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch67.0ms (0.6%)

Memory
-13.2MiB live, 74.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
16.0ms
1.846737168324842e+140
1.4931282131663912e+145
15.0ms
1.1981082056060834e-97
1.5387964271366064e-78
11.0ms
-2.227813179689186e-9
-2.3152827286949723e-11
20.0ms
-7.464612528255224e+146
-1.2146146866778807e+139
Samples
45.0ms560×0valid
Compiler

Compiled 1 177 to 718 computations (39% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-mult: 19.0ms (62.8% of total)
ival-add: 7.0ms (23.1% of total)
ival-div: 3.0ms (9.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch31.0ms (0.3%)

Memory
-13.7MiB live, 25.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
18.0ms
1.31850457607477e+49
1.6705906793892558e+52
11.0ms
-2.227813179689186e-9
-2.3152827286949723e-11
Samples
21.0ms240×0valid
Compiler

Compiled 412 to 258 computations (37.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 12.0ms (78.7% of total)
ival-add: 2.0ms (13.1% of total)
ival-div: 1.0ms (6.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch38.0ms (0.4%)

Memory
-1.2MiB live, 37.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
12.0ms
1.31850457607477e+49
1.6705906793892558e+52
11.0ms
-2.227813179689186e-9
-2.3152827286949723e-11
Samples
15.0ms240×0valid
Compiler

Compiled 412 to 258 computations (37.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 6.0ms (64.6% of total)
ival-add: 2.0ms (21.5% of total)
ival-div: 1.0ms (10.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch54.0ms (0.5%)

Memory
-7.2MiB live, 36.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
10.0ms
5.333006017602146e-39
1.5471761523145164e-37
15.0ms
-3.692636591049779e+32
-118354282452008860.0
Samples
17.0ms272×0valid
Compiler

Compiled 379 to 256 computations (32.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 6.0ms (56.5% of total)
ival-div: 2.0ms (18.8% of total)
ival-add: 2.0ms (18.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch44.0ms (0.4%)

Memory
36.6MiB live, 36.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
10.0ms
5.333006017602146e-39
1.5471761523145164e-37
15.0ms
-5.471597561083222e-77
-6.840639014774102e-91
14.0ms
-1.296855484620293e+153
-8.475475571111431e+147
Samples
27.0ms416×0valid
Compiler

Compiled 571 to 387 computations (32.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 10.0ms (62.1% of total)
ival-add: 3.0ms (18.6% of total)
ival-div: 2.0ms (12.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch44.0ms (0.4%)

Memory
-11.1MiB live, 63.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
16.0ms
1.846737168324842e+140
1.4931282131663912e+145
12.0ms
2.0101234390209277e-114
8.715860074004236e-111
13.0ms
-2.227813179689186e-9
-2.3152827286949723e-11
Samples
27.0ms384×0valid
Compiler

Compiled 525 to 357 computations (32% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 9.0ms (59.1% of total)
ival-add: 3.0ms (19.7% of total)
ival-div: 2.0ms (13.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch47.0ms (0.4%)

Memory
-7.6MiB live, 73.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
14.0ms
5.333006017602146e-39
1.5471761523145164e-37
15.0ms
-5.471597561083222e-77
-6.840639014774102e-91
14.0ms
-1.4035904278254747e+59
-4.4036877096921195e+56
Samples
28.0ms400×0valid
Compiler

Compiled 548 to 372 computations (32.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 10.0ms (63.6% of total)
ival-add: 3.0ms (19.1% of total)
ival-div: 2.0ms (12.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch26.0ms (0.2%)

Memory
8.4MiB live, 47.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
1.6705906793892558e+52
1.05203639248513e+56
11.0ms
-2.227813179689186e-9
-2.3152827286949723e-11
Samples
17.0ms240×0valid
Compiler

Compiled 262 to 198 computations (24.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 6.0ms (64% of total)
ival-add: 2.0ms (21.3% of total)
ival-div: 1.0ms (10.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify14.0ms (0.1%)

Memory
-16.8MiB live, 21.6MiB allocated
Algorithm
egg-herbie
Rules
*-commutative_binary64
if-if-or-not_binary32
+-commutative_binary64
1-exp_binary64
1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0124405
1145405
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 c #s(literal -6200000000000000076518603423556074296684117456889195124706337507672149396313298244249857945896263036082597652974249478186443282137527424116471103488 binary64)) (/.f64 (fma.f64 b (/.f64 d c) a) c) (if (<=.f64 c #s(literal -7964942458125489/3885337784451458141838923813647037813284813678104279042503624819477808570410416996352 binary64)) (fma.f64 a (/.f64 c (fma.f64 d d (*.f64 c c))) (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))))) (if (<=.f64 c #s(literal 2673305049388005/2227754207823337509102134573095845373483021732054960903603121346630505452738612005129840239901060253798165190221481644194672219102234100585084307285020612396607419274589973120157653414182912 binary64)) (/.f64 (fma.f64 a (/.f64 c d) b) d) (if (<=.f64 c #s(literal 12500000000000000089702894261377103801007685148645038975839096518281332710061042516033325873072023666298321726662095267032510191778683653244091706709639168 binary64)) (fma.f64 a (/.f64 c (fma.f64 d d (*.f64 c c))) (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))))) (/.f64 (fma.f64 b (/.f64 d c) a) c)))))
(if (<=.f64 d #s(literal -54999999999999995856782217794033543777047918854839284797535091765700111817594182285267951232722895270914328805700170328504758759671407312896 binary64)) (/.f64 (fma.f64 a (/.f64 c d) b) d) (if (<=.f64 d #s(literal -7272897730801609/309485009821345068724781056 binary64)) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (if (<=.f64 d #s(literal 8485944879163265/4586997231980143023221641790604173881593129978336562247475177678773845752176969616140037106220251373109248 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 (*.f64 d b) c) (/.f64 a c)) (if (<=.f64 d #s(literal 660000000000000034896550618680223191169734454452764515606220520616397410246175982547156693040527008875190881951958504433732244319046750699520 binary64)) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 (fma.f64 c (/.f64 a d) b) d)))))
(if (<=.f64 d #s(literal -14999999999999999831567468547825292232889880462623135604280018429599985818833024658754228498104565365070032132049551686088515334489814073344 binary64)) (/.f64 (fma.f64 a (/.f64 c d) b) d) (if (<=.f64 d #s(literal -290142196707511/9671406556917033397649408 binary64)) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (if (<=.f64 d #s(literal 5771778251424973/19239260838083241802870625048898248928261591440656956380834127638791856333738872368854622194768025215237611323392 binary64)) (/.f64 (fma.f64 b (/.f64 d c) a) c) (if (<=.f64 d #s(literal 279999999999999982753398745367435344039751197269849681607260440781200390545708827776088718923309842543937443750998888058373096376644885544960 binary64)) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 (fma.f64 c (/.f64 a d) b) d)))))
(if (<=.f64 d #s(literal -3771848557197643/19342813113834066795298816 binary64)) (/.f64 (fma.f64 c (/.f64 a d) b) d) (if (<=.f64 d #s(literal 79999999999999995719222155803854345574979318317056 binary64)) (/.f64 (fma.f64 b (/.f64 d c) a) c) (/.f64 (fma.f64 c (/.f64 a d) b) d)))
(if (<=.f64 d #s(literal -332454600394023/151115727451828646838272 binary64)) (/.f64 (fma.f64 a (/.f64 c d) b) d) (if (<=.f64 d #s(literal 10200000000000000196699275635471779940670838163898368 binary64)) (/.f64 (fma.f64 b (/.f64 d c) a) c) (/.f64 (fma.f64 a (/.f64 c d) b) d)))
(if (<=.f64 c #s(literal -18999999999999999427829825536 binary64)) (/.f64 a c) (if (<=.f64 c #s(literal 6225763134767673/47890485652059026823698344598447161988085597568237568 binary64)) (/.f64 (fma.f64 a (/.f64 c d) b) d) (/.f64 a c)))
(if (<=.f64 c #s(literal -1539999999999999995926173455899798038708938097686849643737841431693446282645821989105874417637907890439247947791635843005161486009377169753990452215808 binary64)) (/.f64 a c) (if (<=.f64 c #s(literal -8276949764193527/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144 binary64)) (/.f64 (fma.f64 b d (*.f64 a c)) (*.f64 c c)) (if (<=.f64 c #s(literal 8811849359978861/95780971304118053647396689196894323976171195136475136 binary64)) (/.f64 b d) (/.f64 a c))))
(if (<=.f64 d #s(literal -6576556458703583/38685626227668133590597632 binary64)) (/.f64 b d) (if (<=.f64 d #s(literal 324922229779783/338460656020607282663380637712778772392143197677711984273740183180495765112991409062496875745134225841966700556811959451779072 binary64)) (/.f64 a c) (if (<=.f64 d #s(literal 1420000000000000054567690360153978219584541540623901085568341260858795381212064496965351363027109075913478822070321276692775401000860618063872 binary64)) (*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b) (/.f64 b d))))
(if (<=.f64 c #s(literal -124999999999999993673391912134252358370455626376676259135488 binary64)) (/.f64 a c) (if (<=.f64 c #s(literal -3807566061702267/559936185544451052639360570142111069530411374308662383724997275240947967795040236345219373317901778944 binary64)) (*.f64 c (/.f64 a (fma.f64 d d (*.f64 c c)))) (if (<=.f64 c #s(literal 5363734393030611/191561942608236107294793378393788647952342390272950272 binary64)) (/.f64 b d) (/.f64 a c))))
(if (<=.f64 d #s(literal -2030995376952577/9671406556917033397649408 binary64)) (/.f64 b d) (if (<=.f64 d #s(literal 549999999999999975003873838340241420593026678583721984 binary64)) (/.f64 a c) (/.f64 b d)))
(/.f64 a c)
Outputs
(if (<=.f64 c #s(literal -6200000000000000076518603423556074296684117456889195124706337507672149396313298244249857945896263036082597652974249478186443282137527424116471103488 binary64)) (/.f64 (fma.f64 b (/.f64 d c) a) c) (if (<=.f64 c #s(literal -7964942458125489/3885337784451458141838923813647037813284813678104279042503624819477808570410416996352 binary64)) (fma.f64 a (/.f64 c (fma.f64 d d (*.f64 c c))) (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))))) (if (<=.f64 c #s(literal 2673305049388005/2227754207823337509102134573095845373483021732054960903603121346630505452738612005129840239901060253798165190221481644194672219102234100585084307285020612396607419274589973120157653414182912 binary64)) (/.f64 (fma.f64 a (/.f64 c d) b) d) (if (<=.f64 c #s(literal 12500000000000000089702894261377103801007685148645038975839096518281332710061042516033325873072023666298321726662095267032510191778683653244091706709639168 binary64)) (fma.f64 a (/.f64 c (fma.f64 d d (*.f64 c c))) (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))))) (/.f64 (fma.f64 b (/.f64 d c) a) c)))))
(if (<=.f64 d #s(literal -54999999999999995856782217794033543777047918854839284797535091765700111817594182285267951232722895270914328805700170328504758759671407312896 binary64)) (/.f64 (fma.f64 a (/.f64 c d) b) d) (if (<=.f64 d #s(literal -7272897730801609/309485009821345068724781056 binary64)) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (if (<=.f64 d #s(literal 8485944879163265/4586997231980143023221641790604173881593129978336562247475177678773845752176969616140037106220251373109248 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 (*.f64 d b) c) (/.f64 a c)) (if (<=.f64 d #s(literal 660000000000000034896550618680223191169734454452764515606220520616397410246175982547156693040527008875190881951958504433732244319046750699520 binary64)) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 (fma.f64 c (/.f64 a d) b) d)))))
(if (<=.f64 d #s(literal -54999999999999995856782217794033543777047918854839284797535091765700111817594182285267951232722895270914328805700170328504758759671407312896 binary64)) (/.f64 (fma.f64 a (/.f64 c d) b) d) (if (<=.f64 d #s(literal -7272897730801609/309485009821345068724781056 binary64)) (/.f64 (+.f64 (*.f64 c a) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (if (<=.f64 d #s(literal 8485944879163265/4586997231980143023221641790604173881593129978336562247475177678773845752176969616140037106220251373109248 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 (*.f64 b d) c) (/.f64 a c)) (if (<=.f64 d #s(literal 660000000000000034896550618680223191169734454452764515606220520616397410246175982547156693040527008875190881951958504433732244319046750699520 binary64)) (/.f64 (+.f64 (*.f64 c a) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 (fma.f64 c (/.f64 a d) b) d)))))
(if (<=.f64 d #s(literal -14999999999999999831567468547825292232889880462623135604280018429599985818833024658754228498104565365070032132049551686088515334489814073344 binary64)) (/.f64 (fma.f64 a (/.f64 c d) b) d) (if (<=.f64 d #s(literal -290142196707511/9671406556917033397649408 binary64)) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (if (<=.f64 d #s(literal 5771778251424973/19239260838083241802870625048898248928261591440656956380834127638791856333738872368854622194768025215237611323392 binary64)) (/.f64 (fma.f64 b (/.f64 d c) a) c) (if (<=.f64 d #s(literal 279999999999999982753398745367435344039751197269849681607260440781200390545708827776088718923309842543937443750998888058373096376644885544960 binary64)) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 (fma.f64 c (/.f64 a d) b) d)))))
(if (<=.f64 d #s(literal -14999999999999999831567468547825292232889880462623135604280018429599985818833024658754228498104565365070032132049551686088515334489814073344 binary64)) (/.f64 (fma.f64 a (/.f64 c d) b) d) (if (<=.f64 d #s(literal -290142196707511/9671406556917033397649408 binary64)) (/.f64 (+.f64 (*.f64 c a) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (if (<=.f64 d #s(literal 5771778251424973/19239260838083241802870625048898248928261591440656956380834127638791856333738872368854622194768025215237611323392 binary64)) (/.f64 (fma.f64 b (/.f64 d c) a) c) (if (<=.f64 d #s(literal 279999999999999982753398745367435344039751197269849681607260440781200390545708827776088718923309842543937443750998888058373096376644885544960 binary64)) (/.f64 (+.f64 (*.f64 c a) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 (fma.f64 c (/.f64 a d) b) d)))))
(if (<=.f64 d #s(literal -3771848557197643/19342813113834066795298816 binary64)) (/.f64 (fma.f64 c (/.f64 a d) b) d) (if (<=.f64 d #s(literal 79999999999999995719222155803854345574979318317056 binary64)) (/.f64 (fma.f64 b (/.f64 d c) a) c) (/.f64 (fma.f64 c (/.f64 a d) b) d)))
(if (<=.f64 d #s(literal -332454600394023/151115727451828646838272 binary64)) (/.f64 (fma.f64 a (/.f64 c d) b) d) (if (<=.f64 d #s(literal 10200000000000000196699275635471779940670838163898368 binary64)) (/.f64 (fma.f64 b (/.f64 d c) a) c) (/.f64 (fma.f64 a (/.f64 c d) b) d)))
(if (<=.f64 c #s(literal -18999999999999999427829825536 binary64)) (/.f64 a c) (if (<=.f64 c #s(literal 6225763134767673/47890485652059026823698344598447161988085597568237568 binary64)) (/.f64 (fma.f64 a (/.f64 c d) b) d) (/.f64 a c)))
(if (<=.f64 c #s(literal -1539999999999999995926173455899798038708938097686849643737841431693446282645821989105874417637907890439247947791635843005161486009377169753990452215808 binary64)) (/.f64 a c) (if (<=.f64 c #s(literal -8276949764193527/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144 binary64)) (/.f64 (fma.f64 b d (*.f64 a c)) (*.f64 c c)) (if (<=.f64 c #s(literal 8811849359978861/95780971304118053647396689196894323976171195136475136 binary64)) (/.f64 b d) (/.f64 a c))))
(if (<=.f64 c #s(literal -1539999999999999995926173455899798038708938097686849643737841431693446282645821989105874417637907890439247947791635843005161486009377169753990452215808 binary64)) (/.f64 a c) (if (<=.f64 c #s(literal -8276949764193527/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144 binary64)) (/.f64 (fma.f64 b d (*.f64 c a)) (*.f64 c c)) (if (<=.f64 c #s(literal 8811849359978861/95780971304118053647396689196894323976171195136475136 binary64)) (/.f64 b d) (/.f64 a c))))
(if (<=.f64 d #s(literal -6576556458703583/38685626227668133590597632 binary64)) (/.f64 b d) (if (<=.f64 d #s(literal 324922229779783/338460656020607282663380637712778772392143197677711984273740183180495765112991409062496875745134225841966700556811959451779072 binary64)) (/.f64 a c) (if (<=.f64 d #s(literal 1420000000000000054567690360153978219584541540623901085568341260858795381212064496965351363027109075913478822070321276692775401000860618063872 binary64)) (*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b) (/.f64 b d))))
(if (<=.f64 d #s(literal -6576556458703583/38685626227668133590597632 binary64)) (/.f64 b d) (if (<=.f64 d #s(literal 324922229779783/338460656020607282663380637712778772392143197677711984273740183180495765112991409062496875745134225841966700556811959451779072 binary64)) (/.f64 a c) (if (<=.f64 d #s(literal 1420000000000000054567690360153978219584541540623901085568341260858795381212064496965351363027109075913478822070321276692775401000860618063872 binary64)) (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))) (/.f64 b d))))
(if (<=.f64 c #s(literal -124999999999999993673391912134252358370455626376676259135488 binary64)) (/.f64 a c) (if (<=.f64 c #s(literal -3807566061702267/559936185544451052639360570142111069530411374308662383724997275240947967795040236345219373317901778944 binary64)) (*.f64 c (/.f64 a (fma.f64 d d (*.f64 c c)))) (if (<=.f64 c #s(literal 5363734393030611/191561942608236107294793378393788647952342390272950272 binary64)) (/.f64 b d) (/.f64 a c))))
(if (<=.f64 d #s(literal -2030995376952577/9671406556917033397649408 binary64)) (/.f64 b d) (if (<=.f64 d #s(literal 549999999999999975003873838340241420593026678583721984 binary64)) (/.f64 a c) (/.f64 b d)))
(/.f64 a c)

soundness975.0ms (9.3%)

Memory
55.0MiB live, 875.7MiB allocated
Rules
8 926×accelerator-lowering-fma.f32
8 926×accelerator-lowering-fma.f64
7 688×*-lowering-*.f32
7 688×*-lowering-*.f64
7 676×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028138
1193134
21875130
08599120
01861356
16181346
218921322
357631320
081851190
05886721
118506465
256506296
083226084
06996714
123786525
086356217
01132
15132
242832
3506232
0875228
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 956 to 419 computations (56.2% saved)

preprocess128.0ms (1.2%)

Memory
-29.9MiB live, 189.2MiB allocated
Compiler

Compiled 972 to 306 computations (68.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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